Question

What does the limit of the norm of a vector-valued function mean?!

score 468 · Answer 1 · 2026-04-12 17:02:00

468

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What does the limit of the norm of a vector-valued function mean?!

Published on 12 Apr 2026 - 17:02

score 324 · Answer 2 · 2026-04-16 06:07:20

324

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If $x_n = \cos{\sqrt{n + 1}} - \cos{\sqrt{n}}$, what is $\lim_{x \to \infty} x_n$?

Published on 16 Apr 2026 - 6:07

score 52 · Answer 3 · 2026-04-14 17:49:12

How to find a function $f(x)$ such that $\lim_{x\to\infty}i\sqrt{1-x^2}f(x)=-1$ by maintaining the $x$ dependence?

score 153 · Answer 4 · 2026-04-16 15:29:32

153

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Why the $\lim_{n\to\infty} (\frac{n}{n^2+1}+\frac{n}{n^2+4}+.....+\frac{n}{n^2+n^2})= \frac{\pi}{4}$?

Published on 16 Apr 2026 - 15:29

score 54 · Answer 5 · 2026-04-11 07:22:40

54

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Absolute value limits

Published on 11 Apr 2026 - 7:22

score 1.7k · Answer 6 · 2026-04-12 09:45:27

1.7k

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How to prove infinite limit is limit does not exist using epsilon and delta

Published on 12 Apr 2026 - 9:45

score 54 · Answer 7 · 2026-05-14 15:59:18

54

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Limit of double integral at origin

Published on 14 May 2026 - 15:59

score 44 · Answer 8 · 2026-04-14 04:00:30

44

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Proving limits existance

Published on 14 Apr 2026 - 4:00

score 122 · Answer 9 · 2026-04-14 07:54:06

122

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Find the limit of $\sum_{k = 1}^{\infty} \frac{6^k}{k!}$ if it exists

Published on 14 Apr 2026 - 7:54

score 163 · Answer 10 · 2026-04-17 12:16:26

163

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Prove $\lim_{x\to 0} \frac{ 1 -\cos x } {x^2} =\frac1 2$

Published on 17 Apr 2026 - 12:16

score 1.4k · Answer 11 · 2026-04-13 20:36:55

1.4k

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Within a limit, find the constant c.

Published on 13 Apr 2026 - 20:36

score 727 · Answer 12 · 2026-05-05 23:22:57

727

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Determine whether the limit yields the derivative of a differentiable function f. Explain, use algebra to justify your conclusions.

Published on 05 May 2026 - 23:22

score 68 · Answer 13 · 2026-04-15 06:51:09

68

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Determining the limit $\lim_{x\to a}\frac{x^3-a^3}{x-a}$ with variables

Published on 15 Apr 2026 - 6:51

score 34 · Answer 14 · 2026-04-11 08:18:29

34

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Determining trigonometric limit

Published on 11 Apr 2026 - 8:18

score 1.8k · Answer 15 · 2026-05-14 15:58:09

1.8k

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Why do we have to try all the paths in multivariable limits?

Published on 14 May 2026 - 15:58

List Question

What does the limit of the norm of a vector-valued function mean?!

If $x_n = \cos{\sqrt{n + 1}} - \cos{\sqrt{n}}$, what is $\lim_{x \to \infty} x_n$?

How to find a function $f(x)$ such that $\lim_{x\to\infty}i\sqrt{1-x^2}f(x)=-1$ by maintaining the $x$ dependence?

Why the $\lim_{n\to\infty} (\frac{n}{n^2+1}+\frac{n}{n^2+4}+.....+\frac{n}{n^2+n^2})= \frac{\pi}{4}$?

Absolute value limits

How to prove infinite limit is limit does not exist using epsilon and delta

Limit of double integral at origin

Proving limits existance

Find the limit of $\sum_{k = 1}^{\infty} \frac{6^k}{k!}$ if it exists

Prove $\lim_{x\to 0} \frac{ 1 -\cos x } {x^2} =\frac1 2$

Within a limit, find the constant c.

Determine whether the limit yields the derivative of a differentiable function f. Explain, use algebra to justify your conclusions.

Determining the limit $\lim_{x\to a}\frac{x^3-a^3}{x-a}$ with variables

Determining trigonometric limit

Why do we have to try all the paths in multivariable limits?

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