List questions from limits-without-lhopital

Published on 17 Nov 2015 - 7:43

893

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Computing $\lim_{x\to 0}\frac{1-cos(3x)}{5x^2}$ not using derivative

Published on 17 Nov 2015 - 12:32

4.2k

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Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule?

Published on 17 Nov 2015 - 23:07

134

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Evaluate $\lim_\limits{x \to 0} (1 +\sin^2 x)^{\frac{1}{\ln(\cos x)}}$

Published on 18 Nov 2015 - 14:27

83

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Prove that $\prod\limits_{k=0}^n\frac{3k+1}{3k+2}\to0$ by elementary means

Published on 31 Mar 2026 - 12:16

121

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Find the limit of a numerical sequence without the use of L'Hopital's rule.

Published on 18 Nov 2015 - 20:09

119

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Find the following limit 0/0

Published on 19 Nov 2015 - 19:26

133

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Solve limit without L'Hopital

Published on 19 Nov 2015 - 20:25

148

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Is this a valid technique when calculating limits

Published on 21 Nov 2015 - 4:56

91

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How to take the limit: x goes to infinity, when x appears in the bounds of an integral?

Published on 21 Nov 2015 - 12:57

65

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Prove that $\lim_{x\to 0} \frac{a^x-1}{x}=\ln a$

Published on 23 Nov 2015 - 8:50

36

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Could the indeterminate form limit $\lim_{x\to a} [\frac{x^m-a^m}{x^n-a^n}]=\frac{m}{n}a^{m-n}$ be extended to all real numbers?

Published on 23 Nov 2015 - 12:01

99

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How to Evaluate $\lim_{x\to0}\frac{(1-x)^{1/3}-1}{4^x-3^x}$?

Published on 26 Nov 2015 - 19:34

323

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Prove the following limits without using l'Hospital and Sandwich theorem

Published on 28 Nov 2015 - 14:14

165

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Solving limits without l'Hopital

Published on 28 Nov 2015 - 23:11

List Question

Limit with ln(tan x)

Computing $\lim_{x\to 0}\frac{1-cos(3x)}{5x^2}$ not using derivative

Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule?

Evaluate $\lim_\limits{x \to 0} (1 +\sin^2 x)^{\frac{1}{\ln(\cos x)}}$

Prove that $\prod\limits_{k=0}^n\frac{3k+1}{3k+2}\to0$ by elementary means

Find the limit of a numerical sequence without the use of L'Hopital's rule.

Find the following limit 0/0

Solve limit without L'Hopital

Is this a valid technique when calculating limits

How to take the limit: x goes to infinity, when x appears in the bounds of an integral?

Prove that $\lim_{x\to 0} \frac{a^x-1}{x}=\ln a$

Could the indeterminate form limit $\lim_{x\to a} [\frac{x^m-a^m}{x^n-a^n}]=\frac{m}{n}a^{m-n}$ be extended to all real numbers?

How to Evaluate $\lim_{x\to0}\frac{(1-x)^{1/3}-1}{4^x-3^x}$?

Prove the following limits without using l'Hospital and Sandwich theorem

Solving limits without l'Hopital

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