List questions from limits-without-lhopital

Published on 28 Jul 2016 - 12:02

70

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Two apparently different limits to the same question

Published on 30 Jul 2016 - 13:10

74

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Limit of $\frac{1}{x(e^{2/x}-1)}$ as $x \rightarrow \infty$

Published on 02 Aug 2016 - 5:59

53

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Limits problem $\lim_{x\rightarrow \infty }{\sqrt{x^2+x}-x}$

Published on 02 Aug 2016 - 11:14

135

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Evaluate: $\lim_{x \to 2}\frac{\ln(3-x)+3\ln(x-1)}{\ln(2x-3)+3\ln(5-2x)}$

Published on 06 Aug 2016 - 15:57

131

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Problem with figuring out limit without using L'Hopital

Published on 09 Aug 2016 - 15:49

180

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Solving lim(x^x) when x approaches minus infinity

Published on 29 Mar 2026 - 2:45

2.4k

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Avoid L'hopital's rule

Published on 15 Aug 2016 - 16:41

3.6k

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Proof of standard limit $\lim_{x \to 0}(1 - \cos x)/x^{2}$

Published on 30 Mar 2026 - 12:28

91

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$x_n=\sin(x_{n-1}),x_{0}\in (0,\pi)$, find limit $x_{n}\sqrt{n}$

Published on 17 Aug 2016 - 18:26

302

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A limit I would like to find without using series and L'Hopital rule

Published on 18 Aug 2016 - 16:36

37

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Is there a way to get at this limit problem algebraically?

Published on 21 Aug 2016 - 22:26

187

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Limit as $x$ goes to zero of $\sin(2x)/(2x^2+x)$ without using L'hopital!

Published on 21 Aug 2016 - 23:51

114

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Find $\lim_{x\to 0}\left(1-a^x\right)^\frac 1{x}\quad (0<a<1)$

Published on 22 Aug 2016 - 7:16

537

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Limit $\lim \limits_{x\to -\infty }\frac{\sqrt{16x^{2}+2x-3} }{x+9}$

Published on 24 Aug 2016 - 21:25

List Question

Compute trigonometric limit without use of de L'Hospital's rule

Two apparently different limits to the same question

Limit of $\frac{1}{x(e^{2/x}-1)}$ as $x \rightarrow \infty$

Limits problem $\lim_{x\rightarrow \infty }{\sqrt{x^2+x}-x}$

Evaluate: $\lim_{x \to 2}\frac{\ln(3-x)+3\ln(x-1)}{\ln(2x-3)+3\ln(5-2x)}$

Problem with figuring out limit without using L'Hopital

Solving lim(x^x) when x approaches minus infinity

Avoid L'hopital's rule

Proof of standard limit $\lim_{x \to 0}(1 - \cos x)/x^{2}$

$x_n=\sin(x_{n-1}),x_{0}\in (0,\pi)$, find limit $x_{n}\sqrt{n}$

A limit I would like to find without using series and L'Hopital rule

Is there a way to get at this limit problem algebraically?

Limit as $x$ goes to zero of $\sin(2x)/(2x^2+x)$ without using L'hopital!

Find $\lim_{x\to 0}\left(1-a^x\right)^\frac 1{x}\quad (0<a<1)$

Limit $\lim \limits_{x\to -\infty }\frac{\sqrt{16x^{2}+2x-3} }{x+9}$

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