List questions from limits-without-lhopital

Published on 05 Dec 2020 - 23:21

57

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$\lim_{n\to \infty}\frac{1+2^2\sqrt{2}+\dots +n^2\sqrt[n]{n}}{n^2(n+1)}$

Published on 07 Dec 2020 - 19:06

109

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Limit of $\sqrt[10]{n^{10} + 8n^9} - n$ as $n \rightarrow \infty$ using two "standard" limits

Published on 08 Dec 2020 - 3:48

58

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Solve $\displaystyle\lim_{x \to \frac{\pi}{2}}{\biggl[(1+\cot x)^{\tan x}\biggr]^3}$

Published on 09 Dec 2020 - 16:20

125

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Proving limit of quadratic using formal definition without explicitly given f(x)

Published on 07 Apr 2026 - 3:57

26

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Computing the limit using equivalent functions: is that correct?

Published on 10 Dec 2020 - 13:54

207

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Solving limits involving factorials

Published on 11 Dec 2020 - 18:40

72

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How can you solve $\lim _{x \to 1}\frac{\ln\left(\frac{2x-1}{x}\right)}{\root{3}\of{x}-1}$?

Published on 13 Dec 2020 - 19:31

193

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How can I solve this limit? $\lim _{x \to a}\left(\frac{\sin(x)}{\sin(a)}\right)^{\frac{1}{x-a}}$

Published on 13 Dec 2020 - 20:30

112

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Double limit question

Published on 06 Apr 2026 - 14:31

123

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Is it possible to evaluate $\lim_{n\to\infty}n(\sqrt[n]{4}-1)$ without applying L'Hospital's rule?

Published on 15 Dec 2020 - 18:03

774

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Does limit exist at zero?

Published on 19 Dec 2020 - 8:04

67

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Repeated application of L'Hopital's rule to evaluate $\lim_{x \to 0^+}\frac{3^{\ln x}}{x}$

Published on 20 Dec 2020 - 16:55

194

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Quotient rule for limits of functions

Published on 21 Dec 2020 - 19:52

87

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Find multivariable limit: as $(x,y) \to (0,0)$ of $ \frac {x\sin y-y\sin x} {x^2+y^2}$

Published on 21 Dec 2020 - 22:57

List Question

solution without using the L'Hopital

$\lim_{n\to \infty}\frac{1+2^2\sqrt{2}+\dots +n^2\sqrt[n]{n}}{n^2(n+1)}$

Limit of $\sqrt[10]{n^{10} + 8n^9} - n$ as $n \rightarrow \infty$ using two "standard" limits

Solve $\displaystyle\lim_{x \to \frac{\pi}{2}}{\biggl[(1+\cot x)^{\tan x}\biggr]^3}$

Proving limit of quadratic using formal definition without explicitly given f(x)

Computing the limit using equivalent functions: is that correct?

Solving limits involving factorials

How can you solve $\lim _{x \to 1}\frac{\ln\left(\frac{2x-1}{x}\right)}{\root{3}\of{x}-1}$?

How can I solve this limit? $\lim _{x \to a}\left(\frac{\sin(x)}{\sin(a)}\right)^{\frac{1}{x-a}}$

Double limit question

Is it possible to evaluate $\lim_{n\to\infty}n(\sqrt[n]{4}-1)$ without applying L'Hospital's rule?

Does limit exist at zero?

Repeated application of L'Hopital's rule to evaluate $\lim_{x \to 0^+}\frac{3^{\ln x}}{x}$

Quotient rule for limits of functions

Find multivariable limit: as $(x,y) \to (0,0)$ of $ \frac {x\sin y-y\sin x} {x^2+y^2}$

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