List questions from limits-without-lhopital

Published on 07 May 2026 - 12:44

5.8k

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Limit of $\sqrt x \sin(1/x)$ where $x$ approaches positive infinity

Published on 05 May 2026 - 10:51

76

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No two sided limit exists

Published on 07 May 2026 - 11:28

266

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Evaluate $\lim\limits_{n\to\infty} \frac{3+\sqrt{3}+\sqrt[3]{3}+\dots+\sqrt[n]{3}-n}{\ln n}$

Published on 29 Apr 2026 - 12:20

65

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A problem in using theorem for finding limit

Published on 07 May 2026 - 12:47

63

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A guess about sequences

Published on 10 May 2026 - 9:46

199

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Compute the limit without L'Hospital's rule

Published on 07 May 2026 - 12:48

118

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$x_0 \in [0,\infty)$ and $x_{n+1} =\sqrt{\frac{3x_n+2}{2}}$. Compute $\lim_\limits{n\to\infty} x_n$

Published on 23 Apr 2026 - 8:40

116

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Substitution in the limit $x^{2}\sin(\frac{1}{x})$ where $x \to \infty$

Published on 03 May 2026 - 10:55

119

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Evaluate $\lim_{ x\to \infty} x^2 \times \log \left(x \cot^{-1}x\right)$

Published on 05 May 2026 - 4:09

1.3k

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Difficult limit of two variables

Published on 29 Apr 2026 - 12:19

222

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Computing : $\lim_{x\to 1} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $ without L'Hopital or derivative

Published on 29 Apr 2026 - 12:19

331

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Evaluating $\lim\limits_{x\to \infty}\frac{x^2}{2^x-1}$

Published on 29 Apr 2026 - 12:19

133

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Limits with Trig

Published on 29 Apr 2026 - 12:19

464

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Evaluating $\lim\limits_{x \to a} \frac{x^a - a^x}{x^a - a^a}$ without L'Hopital

Published on 07 May 2026 - 7:40

List Question

Solving a limit of $\frac{\ln(x)}{x-1}$ with taylor expansion

Limit of $\sqrt x \sin(1/x)$ where $x$ approaches positive infinity

No two sided limit exists

Evaluate $\lim\limits_{n\to\infty} \frac{3+\sqrt{3}+\sqrt[3]{3}+\dots+\sqrt[n]{3}-n}{\ln n}$

A problem in using theorem for finding limit

A guess about sequences

Compute the limit without L'Hospital's rule

$x_0 \in [0,\infty)$ and $x_{n+1} =\sqrt{\frac{3x_n+2}{2}}$. Compute $\lim_\limits{n\to\infty} x_n$

Substitution in the limit $x^{2}\sin(\frac{1}{x})$ where $x \to \infty$

Evaluate $\lim_{ x\to \infty} x^2 \times \log \left(x \cot^{-1}x\right)$

Difficult limit of two variables

Computing : $\lim_{x\to 1} \frac{\sqrt{4x^2+5}-3}{\sqrt[3]{x^4}-1} $ without L'Hopital or derivative

Evaluating $\lim\limits_{x\to \infty}\frac{x^2}{2^x-1}$

Limits with Trig

Evaluating $\lim\limits_{x \to a} \frac{x^a - a^x}{x^a - a^a}$ without L'Hopital

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