Question

Calculating $\int_{0}^{\infty}e^{-x^{2}}$, motivation behind the defined function

score 91 · Answer 1 · 2019-07-28 19:16:06

91

Views

Calculating $\int_{0}^{\infty}e^{-x^{2}}$, motivation behind the defined function

Published on 28 Jul 2019 - 19:16

score 47 · Answer 2 · 2026-03-24 20:36:01

47

Views

Plausible conditions for the elements of a sequence of functions to become monotone given convergence to a monotone function

Published on 24 Mar 2026 - 20:36

score 71 · Answer 3 · 2019-07-29 12:17:38

71

Views

Uniform convergence on sequence of contractions composition

Published on 29 Jul 2019 - 12:17

score 218 · Answer 4 · 2019-07-31 03:47:17

218

Views

Evaluate $\lim_{n \rightarrow \infty} \int_{0}^{\pi} \frac{\sin(nx)}{nx}dx$. Explanation of certain steps in procedure.

Published on 31 Jul 2019 - 3:47

score 286 · Answer 5 · 2019-07-31 08:33:21

286

Views

Topology of uniform convergence on $C(X,Y)$ is independent of metric for compact $X$

Published on 31 Jul 2019 - 8:33

score 147 · Answer 6 · 2019-07-31 19:41:58

147

Views

Suppose $g \in C([0,1])$ and $f_{n}$ is a sequence in $C([0,1])$ that converges uniformly to $f$. Prove the equality

Published on 31 Jul 2019 - 19:41

score 312 · Answer 7 · 2019-08-02 03:49:46

312

Views

Show $\sum_{k = 1}^{\infty}x^{k}e^{-kx}$ converges uniformly in $[0,A]$

Published on 02 Aug 2019 - 3:49

score 91 · Answer 8 · 2019-08-02 12:49:17

91

Views

How to use Dirichlet/Abel test to prove the series is not uniform convergent

Published on 02 Aug 2019 - 12:49

score 295 · Answer 9 · 2026-03-30 00:20:16

295

Views

Differentiability of $\sum_{k=0}^{\infty}c_{k}e^{ikt}$ given $\lim_{k\to\infty}k^{m}c_{k}=0$

Published on 30 Mar 2026 - 0:20

score 80 · Answer 10 · 2026-03-26 13:02:04

80

Views

Determine if $\sum_{n = 1}^{\infty} \frac{1}{x^{2} + n^{2}}$ converges on $\mathbb{R}$. Proof verification

Published on 26 Mar 2026 - 13:02

score 67 · Answer 11 · 2019-08-02 20:20:01

67

Views

Evaluate $\sum_{n = 0}^{\infty}\frac{x^{2}}{(1+x^{2})^{n}}$

Published on 02 Aug 2019 - 20:20

score 74 · Answer 12 · 2019-08-03 13:25:02

74

Views

Convergence of a series of functions. Notation/ idea

Published on 03 Aug 2019 - 13:25

score 165 · Answer 13 · 2019-08-03 17:11:16

165

Views

Using Stirling's Formula to approximate radius of convergence of $\sum_{k = 0}^{\infty} \frac{x^k}{k!}$

Published on 03 Aug 2019 - 17:11

score 75 · Answer 14 · 2019-08-03 21:31:29

75

Views

Determine Radius of convergence of $\sum_{k = 1}^{\infty} \frac{k!}{k^{k}}x^{k}$

Published on 03 Aug 2019 - 21:31

score 42 · Answer 15 · 2019-08-03 21:58:08

42

Views

Compute $f(x) = \sum_{k = 1}^{\infty} \Bigg(\frac{1}{(k-1)!} + k\Bigg)x^{k-1}$

Published on 03 Aug 2019 - 21:58

List Question

Calculating $\int_{0}^{\infty}e^{-x^{2}}$, motivation behind the defined function

Plausible conditions for the elements of a sequence of functions to become monotone given convergence to a monotone function

Uniform convergence on sequence of contractions composition

Evaluate $\lim_{n \rightarrow \infty} \int_{0}^{\pi} \frac{\sin(nx)}{nx}dx$. Explanation of certain steps in procedure.

Topology of uniform convergence on $C(X,Y)$ is independent of metric for compact $X$

Suppose $g \in C([0,1])$ and $f_{n}$ is a sequence in $C([0,1])$ that converges uniformly to $f$. Prove the equality

Show $\sum_{k = 1}^{\infty}x^{k}e^{-kx}$ converges uniformly in $[0,A]$

How to use Dirichlet/Abel test to prove the series is not uniform convergent

Differentiability of $\sum_{k=0}^{\infty}c_{k}e^{ikt}$ given $\lim_{k\to\infty}k^{m}c_{k}=0$

Determine if $\sum_{n = 1}^{\infty} \frac{1}{x^{2} + n^{2}}$ converges on $\mathbb{R}$. Proof verification

Evaluate $\sum_{n = 0}^{\infty}\frac{x^{2}}{(1+x^{2})^{n}}$

Convergence of a series of functions. Notation/ idea

Using Stirling's Formula to approximate radius of convergence of $\sum_{k = 0}^{\infty} \frac{x^k}{k!}$

Determine Radius of convergence of $\sum_{k = 1}^{\infty} \frac{k!}{k^{k}}x^{k}$

Compute $f(x) = \sum_{k = 1}^{\infty} \Bigg(\frac{1}{(k-1)!} + k\Bigg)x^{k-1}$

Trending Questions

Popular # Hahtags

Popular Questions