Question

Can $\lim_{x\to x_0}\frac{f(x)-f(x_0)}{x-x_0}$ be written as $\lim_{h\to 0}\frac{f(x_0+h)-f(x_0)}{h}$ when $h=x-x_0$?

score 89 · Answer 1 · 2026-05-11 10:11:34

89

Views

Can $\lim_{x\to x_0}\frac{f(x)-f(x_0)}{x-x_0}$ be written as $\lim_{h\to 0}\frac{f(x_0+h)-f(x_0)}{h}$ when $h=x-x_0$?

Published on 11 May 2026 - 10:11

score 526 · Answer 2 · 2026-05-05 10:20:14

526

Views

Finding the limit $f(2x)-f(x)$

Published on 05 May 2026 - 10:20

score 149 · Answer 3 · 2026-04-15 03:38:31

149

Views

How do I solve : $\lim \limits_{x\to0}\frac{6\sin x}{x-3\tan x}$

Published on 15 Apr 2026 - 3:38

score 189 · Answer 4 · 2026-05-06 07:59:34

189

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How to compute $\lim\limits_{(x,y)\to(0,0)} \frac{xy^3}{x^2+y^4}$

Published on 06 May 2026 - 7:59

score 76 · Answer 5 · 2026-04-17 10:37:08

76

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Given $f(x)$'s graph, how can I obtain $g(x)$'s graph knowing $ (f(x) )^2 = g(x)$

Published on 17 Apr 2026 - 10:37

score 138 · Answer 6 · 2026-05-15 07:37:12

138

Views

Limits of square root of sum

Published on 15 May 2026 - 7:37

score 71 · Answer 7 · 2026-04-16 13:41:07

71

Views

Does $\lim_{z \rightarrow 3-4i}\frac{(\overline{z}-3-4i)^4}{|z-3+4i|^4}$ exist? Justify your answer.

Published on 16 Apr 2026 - 13:41

score 72 · Answer 8 · 2026-04-14 15:50:11

72

Views

Show that $f : \mathbb R \to \mathbb C \in 2\pi\mathrm i \mathbb Z$ when $L : \mathbb C\setminus\{0\} \to \mathbb C$ is continuous

Published on 14 Apr 2026 - 15:50

score 217 · Answer 9 · 2026-05-06 08:01:02

217

Views

Prove that if f satisfies $|f(x,y)| \leq x^2 + y^2$ then $f$ is differentiable at $(0,0)$

Published on 06 May 2026 - 8:01

score 36 · Answer 10 · 2026-04-08 17:35:54

36

Views

Finding an equation when given a limit

Published on 08 Apr 2026 - 17:35

score 119 · Answer 11 · 2026-05-11 06:39:43

119

Views

Evaluating $\lim_{x\rightarrow\infty}\left(\frac{2x-1}{3x+2}\right)^x$.

Published on 11 May 2026 - 6:39

score 217 · Answer 12 · 2026-04-16 00:02:52

217

Views

How do you evaluate $\lim_{x \to 3^+} \frac{x-5+\sqrt{x+1}}{\sqrt{x^2-9}}$?

Published on 16 Apr 2026 - 0:02

score 33 · Answer 13 · 2026-04-17 09:17:33

33

Views

Why is $\lim_{n\rightarrow \infty } \frac{\sum_{i=1}^{n} 2^{1/n}}{n}$ equal to 1?

Published on 17 Apr 2026 - 9:17

score 51 · Answer 14 · 2026-05-11 10:11:34

51

Views

Can $\lim_{h\to0}\frac{f(h+x_0)-f(x_0)}{h}$ be written as $\lim_{h\to0}\frac{f(x)-f(x-h)}{h}$ when $h=x−x_0$?

Published on 11 May 2026 - 10:11

score 199 · Answer 15 · 2026-04-16 18:38:09

199

Views

Limit of Product of Functions Where One Function Converges to Infinity

Published on 16 Apr 2026 - 18:38

List Question

Can $\lim_{x\to x_0}\frac{f(x)-f(x_0)}{x-x_0}$ be written as $\lim_{h\to 0}\frac{f(x_0+h)-f(x_0)}{h}$ when $h=x-x_0$?

Finding the limit $f(2x)-f(x)$

How do I solve : $\lim \limits_{x\to0}\frac{6\sin x}{x-3\tan x}$

How to compute $\lim\limits_{(x,y)\to(0,0)} \frac{xy^3}{x^2+y^4}$

Given $f(x)$'s graph, how can I obtain $g(x)$'s graph knowing $ (f(x) )^2 = g(x)$

Limits of square root of sum

Does $\lim_{z \rightarrow 3-4i}\frac{(\overline{z}-3-4i)^4}{|z-3+4i|^4}$ exist? Justify your answer.

Show that $f : \mathbb R \to \mathbb C \in 2\pi\mathrm i \mathbb Z$ when $L : \mathbb C\setminus\{0\} \to \mathbb C$ is continuous

Prove that if f satisfies $|f(x,y)| \leq x^2 + y^2$ then $f$ is differentiable at $(0,0)$

Finding an equation when given a limit

Evaluating $\lim_{x\rightarrow\infty}\left(\frac{2x-1}{3x+2}\right)^x$.

How do you evaluate $\lim_{x \to 3^+} \frac{x-5+\sqrt{x+1}}{\sqrt{x^2-9}}$?

Why is $\lim_{n\rightarrow \infty } \frac{\sum_{i=1}^{n} 2^{1/n}}{n}$ equal to 1?

Can $\lim_{h\to0}\frac{f(h+x_0)-f(x_0)}{h}$ be written as $\lim_{h\to0}\frac{f(x)-f(x-h)}{h}$ when $h=x−x_0$?

Limit of Product of Functions Where One Function Converges to Infinity

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