Question

How do we define the domain of a function with removable and nonremovable discontinuities?

score 2.2k · Answer 1 · 2026-04-08 20:19:58

2.2k

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How do we define the domain of a function with removable and nonremovable discontinuities?

Published on 08 Apr 2026 - 20:19

score 57 · Answer 2 · 2026-04-15 13:07:28

57

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Wondering whether is it application of Mean Value Theorem?

Published on 15 Apr 2026 - 13:07

score 92 · Answer 3 · 2026-03-25 06:07:13

92

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How do I maximize the function $f(x,y)=g(x,y)-ax-by$ given non-negativity and inequality constraints in the description?

Published on 25 Mar 2026 - 6:07

score 67 · Answer 4 · 2026-04-12 01:59:07

67

Views

Show that $\lim_{n \to +\infty} \sqrt[n]{e^n - (\sqrt{e})^n} = e$

Published on 12 Apr 2026 - 1:59

score 128 · Answer 5 · 2026-04-15 03:22:00

128

Views

For what of $n$ do we have $ a^n\le b^n+c^n$

Published on 15 Apr 2026 - 3:22

score 94 · Answer 6 · 2026-04-12 06:29:28

94

Views

Definite Integral Summation Problem of function f(x)

Published on 12 Apr 2026 - 6:29

score 176 · Answer 7 · 2026-04-12 16:33:24

176

Views

How to investigate convernegce of $\sum_{n=1}^{+\infty} \frac{(2x)^n}{x^2n+\frac{70}{n}}$ for $x \in \mathbb{R}$

Published on 12 Apr 2026 - 16:33

score 399 · Answer 8 · 2026-04-14 22:45:00

399

Views

Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

Published on 14 Apr 2026 - 22:45

score 709 · Answer 9 · 2026-04-09 22:07:04

709

Views

Prove $\int_{\pi}^{\infty}\frac{\cos(x)}{x}dx$ is convergent

Published on 09 Apr 2026 - 22:07

score 58 · Answer 10 · 2026-04-12 17:51:35

58

Views

Is my understanding of discontinuity correct?

Published on 12 Apr 2026 - 17:51

score 115 · Answer 11 · 2026-04-12 15:54:02

115

Views

Identity Involving Laplace Transform And Its Inverse

Published on 12 Apr 2026 - 15:54

score 53 · Answer 12 · 2026-03-25 17:44:36

53

Views

Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Published on 25 Mar 2026 - 17:44

score 69 · Answer 13 · 2026-03-25 13:56:51

69

Views

Proving that $x^a-y^a<x-y$ for $0<y<x<1$ and $a \in (0,1)$

Published on 25 Mar 2026 - 13:56

score 131 · Answer 14 · 2026-04-14 16:23:29

131

Views

From polar coordinates to Cartesian.

Published on 14 Apr 2026 - 16:23

score 164 · Answer 15 · 2026-04-12 17:27:28

164

Views

How to prove that a function $f$ has a limit $l$ when $x \to x_0$, using the ε-δ definition?

Published on 12 Apr 2026 - 17:27

List Question

How do we define the domain of a function with removable and nonremovable discontinuities?

Wondering whether is it application of Mean Value Theorem?

How do I maximize the function $f(x,y)=g(x,y)-ax-by$ given non-negativity and inequality constraints in the description?

Show that $\lim_{n \to +\infty} \sqrt[n]{e^n - (\sqrt{e})^n} = e$

For what of $n$ do we have $ a^n\le b^n+c^n$

Definite Integral Summation Problem of function f(x)

How to investigate convernegce of $\sum_{n=1}^{+\infty} \frac{(2x)^n}{x^2n+\frac{70}{n}}$ for $x \in \mathbb{R}$

Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

Prove $\int_{\pi}^{\infty}\frac{\cos(x)}{x}dx$ is convergent

Is my understanding of discontinuity correct?

Identity Involving Laplace Transform And Its Inverse

Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Proving that $x^a-y^a<x-y$ for $0<y<x<1$ and $a \in (0,1)$

From polar coordinates to Cartesian.

How to prove that a function $f$ has a limit $l$ when $x \to x_0$, using the ε-δ definition?

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