Question

Determine $\lim_{x \to 0}{\frac{x-\sin{x}}{x^3}}=\frac{1}{6}$, without L'Hospital or Taylor

score 3k · Answer 1 · 2012-10-19 20:19:50

3k

Views

Determine $\lim_{x \to 0}{\frac{x-\sin{x}}{x^3}}=\frac{1}{6}$, without L'Hospital or Taylor

Published on 19 Oct 2012 - 20:19

score 147 · Answer 2 · 2012-11-06 18:27:06

147

Views

Show $\lim_{x\rightarrow 0^+} x^{-\ln x} = 0$ without L'Hopital

Published on 06 Nov 2012 - 18:27

score 292 · Answer 3 · 2013-01-08 13:45:55

292

Views

Limit of $( n\sin^2(x\pi)-n\sin^2(\sqrt{n}\pi))/(x-\sqrt{n})$ without using L'Hopital

Published on 08 Jan 2013 - 13:45

score 394 · Answer 4 · 2013-01-14 12:07:59

394

Views

Limit of $\left(\frac{-2}{\pi}\cdot\arctan{x}\right)^x$ when $x\to -\infty$, without using l'Hôpital

Published on 14 Jan 2013 - 12:07

score 3.5k · Answer 5 · 2013-01-24 16:39:43

3.5k

Views

Find limit without using L'hopital or Taylor's series

Published on 24 Jan 2013 - 16:39

score 384 · Answer 6 · 2013-01-29 21:56:17

384

Views

Limit of logarithms without l'Hospital

Published on 29 Jan 2013 - 21:56

score 4.6k · Answer 7 · 2026-03-26 11:47:49

4.6k

Views

Evaluate $\lim_{x\to-4} \frac{\large \frac{1}{4} + \frac{1}{x}}{4 + x}$

Published on 26 Mar 2026 - 11:47

score 521 · Answer 8 · 2013-03-26 05:43:18

521

Views

Evaluate: $\lim_{x \to 0}\left(\frac{\tan\left(\pi\cos^2x\right)}{x^2}\right)$

Published on 26 Mar 2013 - 5:43

score 78 · Answer 9 · 2026-04-06 07:37:18

78

Views

Confusion on proof of limit laws epsilon delta

Published on 06 Apr 2026 - 7:37

score 80 · Answer 10 · 2026-04-06 07:37:12

80

Views

One sided limits with $f(x)$ instead of $x$

Published on 06 Apr 2026 - 7:37

score 97 · Answer 11 · 2020-08-07 11:23:48

97

Views

Use of Hôpital's rules to calculate also the sequences

Published on 07 Aug 2020 - 11:23

score 853 · Answer 12 · 2020-08-09 11:04:09

853

Views

If $f(x)=\frac{e^{\tan x} -e^x+\ln (\sec x +\tan x)-x}{\tan x -x}$ is a continuous function at $x=0$, find $f(0)$

Published on 09 Aug 2020 - 11:04

score 95 · Answer 13 · 2020-08-10 05:11:11

95

Views

The value of the following product is?

Published on 10 Aug 2020 - 5:11

score 94 · Answer 14 · 2020-08-11 15:36:22

94

Views

Applying squeeze theorem to a given function

Published on 11 Aug 2020 - 15:36

score 254 · Answer 15 · 2020-08-16 14:10:57

254

Views

What is $\lim_{x \rightarrow \infty} \left( \sqrt{x^{2}+5x} - x \right)$?

Published on 16 Aug 2020 - 14:10

List Question

Determine $\lim_{x \to 0}{\frac{x-\sin{x}}{x^3}}=\frac{1}{6}$, without L'Hospital or Taylor

Show $\lim_{x\rightarrow 0^+} x^{-\ln x} = 0$ without L'Hopital

Limit of $( n\sin^2(x\pi)-n\sin^2(\sqrt{n}\pi))/(x-\sqrt{n})$ without using L'Hopital

Limit of $\left(\frac{-2}{\pi}\cdot\arctan{x}\right)^x$ when $x\to -\infty$, without using l'Hôpital

Find limit without using L'hopital or Taylor's series

Limit of logarithms without l'Hospital

Evaluate $\lim_{x\to-4} \frac{\large \frac{1}{4} + \frac{1}{x}}{4 + x}$

Evaluate: $\lim_{x \to 0}\left(\frac{\tan\left(\pi\cos^2x\right)}{x^2}\right)$

Confusion on proof of limit laws epsilon delta

One sided limits with $f(x)$ instead of $x$

Use of Hôpital's rules to calculate also the sequences

If $f(x)=\frac{e^{\tan x} -e^x+\ln (\sec x +\tan x)-x}{\tan x -x}$ is a continuous function at $x=0$, find $f(0)$

The value of the following product is?

Applying squeeze theorem to a given function

What is $\lim_{x \rightarrow \infty} \left( \sqrt{x^{2}+5x} - x \right)$?

Trending Questions

Popular # Hahtags

Popular Questions