Question

Limit of $\lim_{(x,y)\rightarrow (0,0)}\ xy\log(\lvert x\rvert+\lvert y\rvert)$

score 78 · Answer 1 · 2026-04-25 18:06:18

78

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Limit of $\lim_{(x,y)\rightarrow (0,0)}\ xy\log(\lvert x\rvert+\lvert y\rvert)$

Published on 25 Apr 2026 - 18:06

score 88 · Answer 2 · 2026-04-12 18:55:33

88

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Find the limit of expression

Published on 12 Apr 2026 - 18:55

score 216 · Answer 3 · 2026-04-25 18:05:06

216

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Find the following limit: $\lim \limits_{x,y \to 0,0} \frac{x+y-\frac{1}{2}y^2}{\sin\left(y\right)+\log\left(1+x\right)}$

Published on 25 Apr 2026 - 18:05

score 33 · Answer 4 · 2026-04-14 10:59:31

33

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Using a Summation or an Integral to Add Multiple Sequential Sums of an Algebraic Equation

Published on 14 Apr 2026 - 10:59

score 71 · Answer 5 · 2026-04-13 11:23:46

71

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solve the following.

Published on 13 Apr 2026 - 11:23

score 136 · Answer 6 · 2026-04-16 09:09:49

136

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Finding $\lim\limits_{x→+∞}\int_{-∞}^{+∞}|f(t-x)-f(t)|\,\mathrm dt$

Published on 16 Apr 2026 - 9:09

score 76 · Answer 7 · 2026-05-05 04:41:15

76

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Problem: Finding the limit of a sequence

Published on 05 May 2026 - 4:41

score 50 · Answer 8 · 2026-04-15 19:13:09

50

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Continuity of partial derivatives of $f(x,y)^t:= \frac{x^2y}{x^6+2y^2} $ when $(x,y)^t\neq (0,0)^t $ and $0$ otherwise

Published on 15 Apr 2026 - 19:13

score 53 · Answer 9 · 2026-04-13 05:04:49

53

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Asymptotes of a logarithmic and rational Function with absolute value.

Published on 13 Apr 2026 - 5:04

score 1.3k · Answer 10 · 2026-04-17 07:47:10

1.3k

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Evaluate: $\lim_{x\to 0}\frac{\sin^3x-x^3\operatorname{sgn}\left(1-\left[\frac{x}{\sin^{-1}x}\right]\right)}{x\tan^2 x\sin(\pi\cos x)}$

Published on 17 Apr 2026 - 7:47

score 81 · Answer 11 · 2026-04-15 10:43:13

81

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Result of $\lim_{n\to\infty} \frac{{x}^{100n}}{n!}$

Published on 15 Apr 2026 - 10:43

score 63 · Answer 12 · 2026-04-15 19:13:25

63

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Contradiction of computation of this:$\lim _{x\to 0^+} (\frac{({2}^{(e^{x^\frac32}+1)}-4)^2}{\sin^6{(\sqrt{x}})})$ with wolfram alpha?

Published on 15 Apr 2026 - 19:13

score 72 · Answer 13 · 2026-04-16 05:15:26

72

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Evaluate$\lim\limits_{n\to+\infty}a_n$.

Published on 16 Apr 2026 - 5:15

score 81 · Answer 14 · 2026-04-15 00:59:02

81

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Is this the correct way to find the value of $(-1)^{1/2}$?

Published on 15 Apr 2026 - 0:59

score 1.1k · Answer 15 · 2026-04-13 13:04:19

1.1k

Views

Big-O & Little-O Notation and Matrices

Published on 13 Apr 2026 - 13:04

List Question

Limit of $\lim_{(x,y)\rightarrow (0,0)}\ xy\log(\lvert x\rvert+\lvert y\rvert)$

Find the limit of expression

Find the following limit: $\lim \limits_{x,y \to 0,0} \frac{x+y-\frac{1}{2}y^2}{\sin\left(y\right)+\log\left(1+x\right)}$

Using a Summation or an Integral to Add Multiple Sequential Sums of an Algebraic Equation

solve the following.

Finding $\lim\limits_{x→+∞}\int_{-∞}^{+∞}|f(t-x)-f(t)|\,\mathrm dt$

Problem: Finding the limit of a sequence

Continuity of partial derivatives of $f(x,y)^t:= \frac{x^2y}{x^6+2y^2} $ when $(x,y)^t\neq (0,0)^t $ and $0$ otherwise

Asymptotes of a logarithmic and rational Function with absolute value.

Evaluate: $\lim_{x\to 0}\frac{\sin^3x-x^3\operatorname{sgn}\left(1-\left[\frac{x}{\sin^{-1}x}\right]\right)}{x\tan^2 x\sin(\pi\cos x)}$

Result of $\lim_{n\to\infty} \frac{{x}^{100n}}{n!}$

Contradiction of computation of this:$\lim _{x\to 0^+} (\frac{({2}^{(e^{x^\frac32}+1)}-4)^2}{\sin^6{(\sqrt{x}})})$ with wolfram alpha?

Evaluate$\lim\limits_{n\to+\infty}a_n$.

Is this the correct way to find the value of $(-1)^{1/2}$?

Big-O & Little-O Notation and Matrices

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