Question

Finding the Error Approximation Using the Remainder Estimate for the Integral Test

score 5k · Answer 1 · 2026-04-11 02:54:21

5k

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Finding the Error Approximation Using the Remainder Estimate for the Integral Test

Published on 11 Apr 2026 - 2:54

score 953 · Answer 2 · 2026-04-10 12:10:43

953

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Complex Definite Integral: $\int _0^1\frac{dx}{\left(1+\sqrt{x}\right)^4}$

Published on 10 Apr 2026 - 12:10

score 97 · Answer 3 · 2026-03-25 12:46:25

97

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Green's Theorem and Tricky Definite Integral

Published on 25 Mar 2026 - 12:46

score 84 · Answer 4 · 2026-04-09 04:29:44

84

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I need some advice on solving this summation

Published on 09 Apr 2026 - 4:29

score 89 · Answer 5 · 2026-03-24 20:33:28

89

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Finding number of real solution of $4^x-2^{2+x}\cos(e^x)+1=0$

Published on 24 Mar 2026 - 20:33

score 259 · Answer 6 · 2026-04-09 22:08:31

259

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intuitive way to think about inverse function theorem

Published on 09 Apr 2026 - 22:08

score 96 · Answer 7 · 2026-03-26 10:48:12

96

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Find all holomorphic functions $f:\mathbb{R}\rightarrow\mathbb{R}$ at $c=0$ that satisfy $f(x)=f'(x)$

Published on 26 Mar 2026 - 10:48

score 124 · Answer 8 · 2026-03-24 22:07:48

124

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Computing $\lim\limits_{x\to0}\int_0^x\frac{t^2}{(x-\sin x)\sqrt{a+t}}\,dt$ without L'Hopital

Published on 24 Mar 2026 - 22:07

score 72 · Answer 9 · 2026-04-10 12:10:41

72

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Given that $\int\limits_{-2}^0 f(x) \,\text{d}x=3 $, show that $\int\limits_0^2 f(x-2) \,\text{d}x =3 $.

Published on 10 Apr 2026 - 12:10

score 38 · Answer 10 · 2026-04-11 01:28:41

38

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Is $ \ {|{n^2\cdot \cos{(n\pi})|}\over {3n^2-5n^3 }} = \ {n^2\over 3n^2-5n^3} $ right?

Published on 11 Apr 2026 - 1:28

score 49 · Answer 11 · 2026-03-29 11:44:29

Let f; g : D⟶$\mathbb R$ be two continuous functions. f(x) > 0 ∀x∈D. Prove that the function h : D⟶$\mathbb R$ by h(x) = $f(x)^{g(x)}$ is continuous.

score 138 · Answer 12 · 2026-04-11 18:35:32

138

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Let $a_{n+1}=\sqrt{a_n+n}$ with $a_1=1$ then find $\lim_{n \to \infty} (a_n -\sqrt{n})$

Published on 11 Apr 2026 - 18:35

score 44 · Answer 13 · 2026-04-09 00:04:14

44

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Explaining a model that obtain matrice A and B from M by solving optimization problem

Published on 09 Apr 2026 - 0:04

score 73 · Answer 14 · 2026-03-25 07:16:34

73

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Let $\ell =\lim\limits_{x\to b}\frac{f(x)-cb}{g(x)-b^2}$then compute $c-\ell $.

Published on 25 Mar 2026 - 7:16

score 92 · Answer 15 · 2026-04-10 19:39:04

92

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If $x\sqrt {1-y^2} + y\sqrt {1-x^2}=a$, show that

Published on 10 Apr 2026 - 19:39

List Question

Finding the Error Approximation Using the Remainder Estimate for the Integral Test

Complex Definite Integral: $\int _0^1\frac{dx}{\left(1+\sqrt{x}\right)^4}$

Green's Theorem and Tricky Definite Integral

I need some advice on solving this summation

Finding number of real solution of $4^x-2^{2+x}\cos(e^x)+1=0$

intuitive way to think about inverse function theorem

Find all holomorphic functions $f:\mathbb{R}\rightarrow\mathbb{R}$ at $c=0$ that satisfy $f(x)=f'(x)$

Computing $\lim\limits_{x\to0}\int_0^x\frac{t^2}{(x-\sin x)\sqrt{a+t}}\,dt$ without L'Hopital

Given that $\int\limits_{-2}^0 f(x) \,\text{d}x=3 $, show that $\int\limits_0^2 f(x-2) \,\text{d}x =3 $.

Is $ \ {|{n^2\cdot \cos{(n\pi})|}\over {3n^2-5n^3 }} = \ {n^2\over 3n^2-5n^3} $ right?

Let f; g : D⟶$\mathbb R$ be two continuous functions. f(x) > 0 ∀x∈D. Prove that the function h : D⟶$\mathbb R$ by h(x) = $f(x)^{g(x)}$ is continuous.

Let $a_{n+1}=\sqrt{a_n+n}$ with $a_1=1$ then find $\lim_{n \to \infty} (a_n -\sqrt{n})$

Explaining a model that obtain matrice A and B from M by solving optimization problem

Let $\ell =\lim\limits_{x\to b}\frac{f(x)-cb}{g(x)-b^2}$then compute $c-\ell $.

If $x\sqrt {1-y^2} + y\sqrt {1-x^2}=a$, show that

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