List questions from limits-without-lhopital

Published on 16 Apr 2026 - 10:14

135

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Confused about a limit

Published on 09 Apr 2026 - 1:58

50

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Find the limit of $\ x_n^{\ a_n} - x_n^{\ b_n}$?

Published on 17 Apr 2026 - 4:43

648

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EDİTED: Find the derivative of $f(x)=a^x$, using the definition of the derivative.

Published on 14 Apr 2026 - 13:24

29

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Study the convergence of the sequence defined by the sum of all modules of $\ z_n$.

Published on 16 Apr 2026 - 10:41

93

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Finding the limit: $L = \lim_{n \rightarrow \infty} \prod_{r=3}^{n} \frac{r^3 - 8}{r^3 + 8}$

Published on 17 Apr 2026 - 5:39

101

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$\lim_{x\rightarrow 0} \frac{2\cdot \ln(1+x)+x^2-2x}{x^3}$ without 'Hopital Rule

Published on 17 Apr 2026 - 1:06

74

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Find the limit of $\frac{e^n}{2^n+1}$ as $n→\infty$

Published on 16 Apr 2026 - 0:36

111

Views

Calculating $\lim_{x\to\pi} \frac{1}{x-\pi}\left(\sqrt{\frac{4\cos²x}{2+\cos x}}-2\right)$

Published on 16 Apr 2026 - 21:52

164

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Limit of $\lim_{x\to 0} \frac{\sqrt{1-\cos{(x^2))}}}{1-\cos{x}}$ without L'hopital's rule or a series expansion

Published on 16 Apr 2026 - 12:35

164

Views

Compute the limit: $\lim_{x\to e} (2-\ln x)^\frac{1}{x^2-e^2}$

Published on 17 Apr 2026 - 12:07

768

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Limit of Function of Convergent Sequence

Published on 17 Apr 2026 - 4:17

94

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More difficult proof of limit whose value is e^x

Published on 10 Apr 2026 - 22:03

80

Views

Limits of trivial expressions involving the logarithmic function

Published on 11 Apr 2026 - 3:15

184

Views

Calculating $\lim_{x \rightarrow 0} \frac{\tan x - \sin x}{x^3}$.

Published on 15 Apr 2026 - 19:01

List Question

$\lim_{x\to 0^-}(1+\frac{1}{x})^x$

Confused about a limit

Find the limit of $\ x_n^{\ a_n} - x_n^{\ b_n}$?

EDİTED: Find the derivative of $f(x)=a^x$, using the definition of the derivative.

Study the convergence of the sequence defined by the sum of all modules of $\ z_n$.

Finding the limit: $L = \lim_{n \rightarrow \infty} \prod_{r=3}^{n} \frac{r^3 - 8}{r^3 + 8}$

$\lim_{x\rightarrow 0} \frac{2\cdot \ln(1+x)+x^2-2x}{x^3}$ without 'Hopital Rule

Find the limit of $\frac{e^n}{2^n+1}$ as $n→\infty$

Calculating $\lim_{x\to\pi} \frac{1}{x-\pi}\left(\sqrt{\frac{4\cos²x}{2+\cos x}}-2\right)$

Limit of $\lim_{x\to 0} \frac{\sqrt{1-\cos{(x^2))}}}{1-\cos{x}}$ without L'hopital's rule or a series expansion

Compute the limit: $\lim_{x\to e} (2-\ln x)^\frac{1}{x^2-e^2}$

Limit of Function of Convergent Sequence

More difficult proof of limit whose value is e^x

Limits of trivial expressions involving the logarithmic function

Calculating $\lim_{x \rightarrow 0} \frac{\tan x - \sin x}{x^3}$.

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