Question

$\lim 2^n r^{n^2}$ if $0<r<1$?

score 52 · Answer 1 · 2022-04-12 23:30:12

52

Views

$\lim 2^n r^{n^2}$ if $0<r<1$?

Published on 12 Apr 2022 - 23:30

score 52 · Answer 2 · 2022-04-13 08:29:08

52

Views

How to solve a $\frac{0}{0}$ Limiting Form when L'Hopital's Rule even fails?

Published on 13 Apr 2022 - 8:29

score 72 · Answer 3 · 2022-04-17 13:17:27

72

Views

How to compute $\lim_{x \to 0^+} 1 + \frac{\ln(x)}{x^2}$?

Published on 17 Apr 2022 - 13:17

score 240 · Answer 4 · 2026-04-09 00:00:39

240

Views

Does the limit $\lim_{x\to 0} \sqrt{x^3 - x^2}$ exist or not?

Published on 09 Apr 2026 - 0:00

score 91 · Answer 5 · 2022-04-23 13:43:22

91

Views

If $\lim_{x\to x_0} \frac{f(x)}{g(x)} =L $ , then what we can say about $\lim_{x\to x_0} \frac{f'(x)}{g'(x)}$?

Published on 23 Apr 2022 - 13:43

score 584 · Answer 6 · 2022-04-26 03:49:02

584

Views

Is there a mistake in solving this limit?

Published on 26 Apr 2022 - 3:49

score 139 · Answer 7 · 2022-04-26 15:19:57

139

Views

Can I solve this limit in this way and why?

Published on 26 Apr 2022 - 15:19

score 185 · Answer 8 · 2022-05-03 13:25:07

185

Views

$\lim_{x\rightarrow +\infty}{8x(x+1)-\sqrt{4x^2+2x}\cdot\sqrt[3]{64x^3+144x^2+90x+17}}$

Published on 03 May 2022 - 13:25

score 98 · Answer 9 · 2022-05-05 16:58:53

98

Views

Evaluating $\lim_{x \to +0}\frac{1}{x}{\int^{2022x}_{0}{t\,\sqrt{|\cos(\frac{1}{t})|} \,dt}}$ without L'Hopital's Rule

Published on 05 May 2022 - 16:58

score 1.1k · Answer 10 · 2022-05-06 06:52:43

1.1k

Views

Find $a$ if $\lim_{x\to-2}⁡\frac{3x^2+ax+a+3}{x^2+x-2}$ exists.

Published on 06 May 2022 - 6:52

score 69 · Answer 11 · 2022-05-10 09:23:33

69

Views

Calculate $\lim_{x \to \infty}{\frac{\log(2x+1)}{\log(3x+2)}}$

Published on 10 May 2022 - 9:23

score 73 · Answer 12 · 2022-05-10 20:25:27

73

Views

Using the definition of a derivative, solve $\lim_{x \to 0} \frac{(2+h)^{3+h} - 8}{h}$

Published on 10 May 2022 - 20:25

score 108 · Answer 13 · 2022-05-10 23:15:38

108

Views

Does this limit $\underset{x\to \pi }{\text{lim}}\frac{\sqrt{1-\cos ^2(x)}}{\sin (x)} $ exist?

Published on 10 May 2022 - 23:15

score 161 · Answer 14 · 2022-05-11 03:32:29

161

Views

Evaluate $\lim_{n\to\infty} \frac{n!e^n}{n^n}$ with L'Hopital's rule (or without)

Published on 11 May 2022 - 3:32

score 55 · Answer 15 · 2022-05-12 16:32:53

55

Views

limit and convergence rate of $\lim_{t\to\infty}\left(1-\frac{\log(ct + c + 1)}{t} - \frac{\log(c+1)}{t}\right)^{t}$

Published on 12 May 2022 - 16:32

List Question

$\lim 2^n r^{n^2}$ if $0<r<1$?

How to solve a $\frac{0}{0}$ Limiting Form when L'Hopital's Rule even fails?

How to compute $\lim_{x \to 0^+} 1 + \frac{\ln(x)}{x^2}$?

Does the limit $\lim_{x\to 0} \sqrt{x^3 - x^2}$ exist or not?

If $\lim_{x\to x_0} \frac{f(x)}{g(x)} =L $ , then what we can say about $\lim_{x\to x_0} \frac{f'(x)}{g'(x)}$?

Is there a mistake in solving this limit?

Can I solve this limit in this way and why?

$\lim_{x\rightarrow +\infty}{8x(x+1)-\sqrt{4x^2+2x}\cdot\sqrt[3]{64x^3+144x^2+90x+17}}$

Evaluating $\lim_{x \to +0}\frac{1}{x}{\int^{2022x}_{0}{t\,\sqrt{|\cos(\frac{1}{t})|} \,dt}}$ without L'Hopital's Rule

Find $a$ if $\lim_{x\to-2}⁡\frac{3x^2+ax+a+3}{x^2+x-2}$ exists.

Calculate $\lim_{x \to \infty}{\frac{\log(2x+1)}{\log(3x+2)}}$

Using the definition of a derivative, solve $\lim_{x \to 0} \frac{(2+h)^{3+h} - 8}{h}$

Does this limit $\underset{x\to \pi }{\text{lim}}\frac{\sqrt{1-\cos ^2(x)}}{\sin (x)} $ exist?

Evaluate $\lim_{n\to\infty} \frac{n!e^n}{n^n}$ with L'Hopital's rule (or without)

limit and convergence rate of $\lim_{t\to\infty}\left(1-\frac{\log(ct + c + 1)}{t} - \frac{\log(c+1)}{t}\right)^{t}$

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