Question

How to evaluate $\lim_{(x,y,z)\to (0,0,0)} \frac{x+y+z}{x^2+y^2+z^2}$

score 197 · Answer 1 · 2026-04-14 22:15:47

197

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How to evaluate $\lim_{(x,y,z)\to (0,0,0)} \frac{x+y+z}{x^2+y^2+z^2}$

Published on 14 Apr 2026 - 22:15

score 37 · Answer 2 · 2026-04-14 02:47:32

37

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Continuity of multi variable piecewise defined function

Published on 14 Apr 2026 - 2:47

score 91 · Answer 3 · 2026-04-14 13:44:00

91

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Is $\lim_{x→a} f(x) $ equivalent to $\lim_{h→0} f(a+h)$?

Published on 14 Apr 2026 - 13:44

score 372 · Answer 4 · 2026-04-14 12:12:13

372

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Prove that ${\prod_\limits{n = k_0}^{\infty} (1 - a_n)} \;$ converges to positive value

Published on 14 Apr 2026 - 12:12

score 103 · Answer 5 · 2026-04-17 13:01:37

103

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Approximating the limit of a Cauchy sequence in a Banach space

Published on 17 Apr 2026 - 13:01

score 160 · Answer 6 · 2026-04-14 03:12:24

160

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Limit of succession

Published on 14 Apr 2026 - 3:12

score 44 · Answer 7 · 2026-04-09 23:28:22

44

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A question about computing limit

Published on 09 Apr 2026 - 23:28

score 394 · Answer 8 · 2026-04-15 19:04:14

394

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Finding $a,b$ such that $\lim\limits_{x\to \infty} (\sqrt[3]{1+x^2+x^3}-ax-b)=0$

Published on 15 Apr 2026 - 19:04

score 98 · Answer 9 · 2026-04-09 05:32:54

98

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Evaluating limit associated with greatest integer function

Published on 09 Apr 2026 - 5:32

score 1k · Answer 10 · 2026-04-10 21:09:50

1k

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Confusion in Oscillatory Discontinuity - A Peculiar Example

Published on 10 Apr 2026 - 21:09

score 131 · Answer 11 · 2026-04-13 00:52:32

131

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How can i get the limit of $(10(n!)+10^n)/(n^{10}+n!)$ when $n$ goes to $\infty$?

Published on 13 Apr 2026 - 0:52

score 54 · Answer 12 · 2026-04-11 01:55:41

54

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How to compute the limit with sinx

Published on 11 Apr 2026 - 1:55

score 114 · Answer 13 · 2026-04-15 09:43:39

114

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How can I test whether $\sum (n+\cos(n))/(n^3*\log(n^2+4))$ is convergent or not?

Published on 15 Apr 2026 - 9:43

score 98 · Answer 14 · 2026-04-14 04:46:03

98

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Finding $\lim_{x\to 0^-} \frac{e^{1/x}}{x}$

Published on 14 Apr 2026 - 4:46

score 131 · Answer 15 · 2026-04-15 22:11:54

131

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Evaluate $ \lim_{n\to \infty} ( \lim_{x\to0} (1+\tan^2(x)+\tan^2(2x)+ \cdots + \tan^2(nx)))^{\frac{1}{n^3x^2}} $

Published on 15 Apr 2026 - 22:11

List Question

How to evaluate $\lim_{(x,y,z)\to (0,0,0)} \frac{x+y+z}{x^2+y^2+z^2}$

Continuity of multi variable piecewise defined function

Is $\lim_{x→a} f(x) $ equivalent to $\lim_{h→0} f(a+h)$?

Prove that ${\prod_\limits{n = k_0}^{\infty} (1 - a_n)} \;$ converges to positive value

Approximating the limit of a Cauchy sequence in a Banach space

Limit of succession

A question about computing limit

Finding $a,b$ such that $\lim\limits_{x\to \infty} (\sqrt[3]{1+x^2+x^3}-ax-b)=0$

Evaluating limit associated with greatest integer function

Confusion in Oscillatory Discontinuity - A Peculiar Example

How can i get the limit of $(10(n!)+10^n)/(n^{10}+n!)$ when $n$ goes to $\infty$?

How to compute the limit with sinx

How can I test whether $\sum (n+\cos(n))/(n^3*\log(n^2+4))$ is convergent or not?

Finding $\lim_{x\to 0^-} \frac{e^{1/x}}{x}$

Evaluate $ \lim_{n\to \infty} ( \lim_{x\to0} (1+\tan^2(x)+\tan^2(2x)+ \cdots + \tan^2(nx)))^{\frac{1}{n^3x^2}} $

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