Using L'Hospital's Rule on $cos (2x)^frac 1 x^2.$ [closed] The 2019 Stack Overflow Developer Survey Results Are InLimit of square root without L'Hopital's rule.Evaluate the limit $lim_x to 0fracsqrt1+xsinx-sqrtcos2xtan^2fracx2$Limits without L'Hopitals RuleComputing $lim_xto 0frac1x(1-e^alpha x)$ using l'Hospital's ruleCorrect use of L'Hospital's rule?Find $lim_x to 0fraccos 2x-1cos x-1$ without L'Hopital's rule.How could I calculate this limit without using L'Hopital's Rule $lim_xrightarrow0 frace^x-1sin(2x)$?Avoiding circular logic using L'Hospital's ruleHow to evaluate $lim _xto 0frac5-5cosleft(2xright)+sinleft(4xright)x$ without using L'Hospital's rule?Limit and L'hopital's Rule
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Using L'Hospital's Rule on $cos (2x)^frac 1 x^2.$ [closed]
The 2019 Stack Overflow Developer Survey Results Are InLimit of square root without L'Hopital's rule.Evaluate the limit $lim_x to 0fracsqrt1+xsinx-sqrtcos2xtan^2fracx2$Limits without L'Hopitals RuleComputing $lim_xto 0frac1x(1-e^alpha x)$ using l'Hospital's ruleCorrect use of L'Hospital's rule?Find $lim_x to 0fraccos 2x-1cos x-1$ without L'Hopital's rule.How could I calculate this limit without using L'Hopital's Rule $lim_xrightarrow0 frace^x-1sin(2x)$?Avoiding circular logic using L'Hospital's ruleHow to evaluate $lim _xto 0frac5-5cosleft(2xright)+sinleft(4xright)x$ without using L'Hospital's rule?Limit and L'hopital's Rule
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How might one evaluate the following limit using L'Hopital's Rule:$$lim_xrightarrow0cos(2x)^frac1x^2$$
limits analysis
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closed as off-topic by RRL, Eevee Trainer, mrtaurho, Cesareo, Javi Apr 1 at 10:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, mrtaurho, Cesareo, Javi
add a comment |
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How might one evaluate the following limit using L'Hopital's Rule:$$lim_xrightarrow0cos(2x)^frac1x^2$$
limits analysis
$endgroup$
closed as off-topic by RRL, Eevee Trainer, mrtaurho, Cesareo, Javi Apr 1 at 10:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, mrtaurho, Cesareo, Javi
1
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What have you tried?
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– Kezer
Mar 30 at 9:53
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Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
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– Ali Lodhi
Mar 30 at 9:57
add a comment |
$begingroup$
How might one evaluate the following limit using L'Hopital's Rule:$$lim_xrightarrow0cos(2x)^frac1x^2$$
limits analysis
$endgroup$
How might one evaluate the following limit using L'Hopital's Rule:$$lim_xrightarrow0cos(2x)^frac1x^2$$
limits analysis
limits analysis
edited Mar 30 at 10:19
Bernard
124k741117
124k741117
asked Mar 30 at 9:29
Ali LodhiAli Lodhi
383
383
closed as off-topic by RRL, Eevee Trainer, mrtaurho, Cesareo, Javi Apr 1 at 10:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, mrtaurho, Cesareo, Javi
closed as off-topic by RRL, Eevee Trainer, mrtaurho, Cesareo, Javi Apr 1 at 10:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, mrtaurho, Cesareo, Javi
1
$begingroup$
What have you tried?
$endgroup$
– Kezer
Mar 30 at 9:53
$begingroup$
Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
$endgroup$
– Ali Lodhi
Mar 30 at 9:57
add a comment |
1
$begingroup$
What have you tried?
$endgroup$
– Kezer
Mar 30 at 9:53
$begingroup$
Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
$endgroup$
– Ali Lodhi
Mar 30 at 9:57
1
1
$begingroup$
What have you tried?
$endgroup$
– Kezer
Mar 30 at 9:53
$begingroup$
What have you tried?
$endgroup$
– Kezer
Mar 30 at 9:53
$begingroup$
Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
$endgroup$
– Ali Lodhi
Mar 30 at 9:57
$begingroup$
Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
$endgroup$
– Ali Lodhi
Mar 30 at 9:57
add a comment |
2 Answers
2
active
oldest
votes
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Hint: Write $$e^lim_xto 0fracln(cos(2x)x^2$$
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Right, thankyou.
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– Ali Lodhi
Mar 30 at 9:33
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Want you to know the result?
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– Dr. Sonnhard Graubner
Mar 30 at 9:34
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Yes, I want to know the result.
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– Ali Lodhi
Mar 30 at 9:48
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It is $$e^-2$$
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– Dr. Sonnhard Graubner
Mar 30 at 9:51
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Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
add a comment |
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Hint:
$$y=cos(2x)^1/x^2Rightarrow ln y=4fraclncos(2x)(2x)^2\
1-frac1zleqln zleq z-1$$
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Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
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– Jam
Mar 30 at 9:59
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Hint: Write $$e^lim_xto 0fracln(cos(2x)x^2$$
$endgroup$
$begingroup$
Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
add a comment |
$begingroup$
Hint: Write $$e^lim_xto 0fracln(cos(2x)x^2$$
$endgroup$
$begingroup$
Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
add a comment |
$begingroup$
Hint: Write $$e^lim_xto 0fracln(cos(2x)x^2$$
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Hint: Write $$e^lim_xto 0fracln(cos(2x)x^2$$
answered Mar 30 at 9:31
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.8k42867
78.8k42867
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Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
add a comment |
$begingroup$
Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
$begingroup$
Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Right, thankyou.
$endgroup$
– Ali Lodhi
Mar 30 at 9:33
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Want you to know the result?
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:34
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
Yes, I want to know the result.
$endgroup$
– Ali Lodhi
Mar 30 at 9:48
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
It is $$e^-2$$
$endgroup$
– Dr. Sonnhard Graubner
Mar 30 at 9:51
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
$begingroup$
Yes, arrived at that. Thank you.
$endgroup$
– Ali Lodhi
Mar 30 at 9:53
add a comment |
$begingroup$
Hint:
$$y=cos(2x)^1/x^2Rightarrow ln y=4fraclncos(2x)(2x)^2\
1-frac1zleqln zleq z-1$$
$endgroup$
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
add a comment |
$begingroup$
Hint:
$$y=cos(2x)^1/x^2Rightarrow ln y=4fraclncos(2x)(2x)^2\
1-frac1zleqln zleq z-1$$
$endgroup$
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
add a comment |
$begingroup$
Hint:
$$y=cos(2x)^1/x^2Rightarrow ln y=4fraclncos(2x)(2x)^2\
1-frac1zleqln zleq z-1$$
$endgroup$
Hint:
$$y=cos(2x)^1/x^2Rightarrow ln y=4fraclncos(2x)(2x)^2\
1-frac1zleqln zleq z-1$$
answered Mar 30 at 9:58
JamJam
5,01921432
5,01921432
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
add a comment |
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
$begingroup$
Proof of bounds: proofwiki.org/wiki/Bounds_of_Natural_Logarithm
$endgroup$
– Jam
Mar 30 at 9:59
add a comment |
1
$begingroup$
What have you tried?
$endgroup$
– Kezer
Mar 30 at 9:53
$begingroup$
Arrived at $e^-2$ using $e^lim_xrightarrow0 fracln(cos(2x))x^2$
$endgroup$
– Ali Lodhi
Mar 30 at 9:57