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Differentiating a g(x) with respect to a function f(x)

score 114 · Answer 1 · 2026-03-31 22:24:47

114

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Differentiating a g(x) with respect to a function f(x)

Published on 31 Mar 2026 - 22:24

score 49 · Answer 2 · 2026-04-11 02:32:07

49

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Property of a family of solution of an ODE.

Published on 11 Apr 2026 - 2:32

score 135 · Answer 3 · 2026-03-31 09:25:45

135

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Why does $\lim_{x \rightarrow \infty} {\frac{1+\cos(x)}{1}}$ have no limit?

Published on 31 Mar 2026 - 9:25

score 105 · Answer 4 · 2018-01-21 23:30:20

105

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Prove $0\le a<b\:\text{implies}\:0\le a^2<b^2\:\text{and}\:0\le \sqrt{a}<\sqrt{b}$

Published on 21 Jan 2018 - 23:30

score 99 · Answer 5 · 2026-04-11 01:28:43

99

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Convergence of $\sum\limits_{n=1}^\infty \frac{\cos(nx - n)}{n}$

Published on 11 Apr 2026 - 1:28

score 131 · Answer 6 · 2026-04-10 10:25:20

131

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Prove the following limit converges using an $\epsilon / \delta $ argument

Published on 10 Apr 2026 - 10:25

score 41 · Answer 7 · 2026-03-31 17:07:54

41

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Do there exist conditions to guarantee that $\int_{-\infty}^{+\infty} \left( \frac{p(x)}{q(x)}-1 \right) q'(x)^2 \, dx < 0$?

Published on 31 Mar 2026 - 17:07

score 239 · Answer 8 · 2026-03-25 06:21:05

239

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Evaluate the improper integral: $\int_{0}^{\infty}\frac{\ln(x)}{1+x^{2}}dx$

Published on 25 Mar 2026 - 6:21

score 64 · Answer 9 · 2026-03-25 03:02:15

64

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Proving that $\sum_{n=1}^{\infty} f(a{_{n}})$ converges absolutely

Published on 25 Mar 2026 - 3:02

score 77 · Answer 10 · 2026-04-11 03:09:12

Is there a way to somehow turn a function on an infinite range into a function on a finite range or vice versa?

score 95 · Answer 11 · 2026-03-29 10:15:29

95

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If $f$ is differentiable and monotonic on $ [a,b] $, is $f'$ continuous on $ [a,b] $?

Published on 29 Mar 2026 - 10:15

score 2.5k · Answer 12 · 2026-04-10 10:25:19

2.5k

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Is the least upper bound of a set necessarily outside the set?

Published on 10 Apr 2026 - 10:25

score 1.1k · Answer 13 · 2026-04-12 06:48:33

1.1k

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"Absolute convergence implies convergence" as another characterization of "completeness"

Published on 12 Apr 2026 - 6:48

score 67 · Answer 14 · 2026-04-10 10:25:24

67

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intervals in real number set

Published on 10 Apr 2026 - 10:25

score 323 · Answer 15 · 2026-04-11 01:28:45

323

Views

Find $\lim\limits_{n \to +\infty}\frac {n}{(\log(n+1))^n}$

Published on 11 Apr 2026 - 1:28

List Question

Differentiating a g(x) with respect to a function f(x)

Property of a family of solution of an ODE.

Why does $\lim_{x \rightarrow \infty} {\frac{1+\cos(x)}{1}}$ have no limit?

Prove $0\le a<b\:\text{implies}\:0\le a^2<b^2\:\text{and}\:0\le \sqrt{a}<\sqrt{b}$

Convergence of $\sum\limits_{n=1}^\infty \frac{\cos(nx - n)}{n}$

Prove the following limit converges using an $\epsilon / \delta $ argument

Do there exist conditions to guarantee that $\int_{-\infty}^{+\infty} \left( \frac{p(x)}{q(x)}-1 \right) q'(x)^2 \, dx < 0$?

Evaluate the improper integral: $\int_{0}^{\infty}\frac{\ln(x)}{1+x^{2}}dx$

Proving that $\sum_{n=1}^{\infty} f(a{_{n}})$ converges absolutely

Is there a way to somehow turn a function on an infinite range into a function on a finite range or vice versa?

If $f$ is differentiable and monotonic on $ [a,b] $, is $f'$ continuous on $ [a,b] $?

Is the least upper bound of a set necessarily outside the set?

"Absolute convergence implies convergence" as another characterization of "completeness"

intervals in real number set

Find $\lim\limits_{n \to +\infty}\frac {n}{(\log(n+1))^n}$

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