Question

Solution verification: finding a Maclaurin series for $f(x)$, interval of convergence, and $f^{(100)}(0)$

score 39 · Answer 1 · 2019-03-10 12:58:10

39

Views

Solution verification: finding a Maclaurin series for $f(x)$, interval of convergence, and $f^{(100)}(0)$

Published on 10 Mar 2019 - 12:58

score 65 · Answer 2 · 2026-03-31 08:12:04

65

Views

Does $\int_{0}^{\pi ^2} \frac{dx}{1 - \cos \sqrt{x}}$ converge or diverge?

Published on 31 Mar 2026 - 8:12

score 602 · Answer 3 · 2019-03-10 16:52:54

602

Views

Finding the second Taylor polynomial for $f(x)$ given as a series

Published on 10 Mar 2019 - 16:52

score 246 · Answer 4 · 2026-03-26 14:25:14

246

Views

General formula for $\dfrac{d^n}{dx^n}e^{f(x)}$ vs. integer composition or Stirling Numbers 2nd kind

Published on 26 Mar 2026 - 14:25

score 77 · Answer 5 · 2019-03-11 23:15:14

77

Views

Does there always exist $x_0 \in \mathbb{R}$ such that $f(x_0) + f'(x_0)(x - x_0) + \frac{f''(x_0)}{2}(x - x_0)^2 \ge 0$ for all $x \in \mathbb{R}$?

Published on 11 Mar 2019 - 23:15

score 154 · Answer 6 · 2026-03-26 16:57:23

154

Views

Forming a series representation for $\tan^a(u)$

Published on 26 Mar 2026 - 16:57

score 1.1k · Answer 7 · 2019-03-12 02:41:20

1.1k

Views

Maclaurin series for $\frac{\cos2x-1}{x^2}$ using Maclaurin series for $\cos2x$

Published on 12 Mar 2019 - 2:41

score 201 · Answer 8 · 2026-03-30 15:08:51

201

Views

Complement of Exponential Function Space

Published on 30 Mar 2026 - 15:08

score 61 · Answer 9 · 2019-03-13 20:19:50

61

Views

Two Taylor Series for $-\sin(x)$ are Equal But One Doesn't Work?

Published on 13 Mar 2019 - 20:19

score 70 · Answer 10 · 2026-03-26 13:01:24

70

Views

Expanding $\frac{1}{1-x}$

Published on 26 Mar 2026 - 13:01

score 47 · Answer 11 · 2019-03-14 09:51:52

47

Views

Find Maclaurin series of $f(x)$ = $x\ln(2+x^2)$

Published on 14 Mar 2019 - 9:51

score 908 · Answer 12 · 2019-03-14 12:01:30

908

Views

Taylor series of product of functions

Published on 14 Mar 2019 - 12:01

score 1.9k · Answer 13 · 2019-03-15 00:34:56

1.9k

Views

How to find the Taylor series of $\sin^2(4x)$?

Published on 15 Mar 2019 - 0:34

score 245 · Answer 14 · 2019-03-15 17:27:37

245

Views

Summing over set of sets

Published on 15 Mar 2019 - 17:27

score 154 · Answer 15 · 2019-03-16 10:59:10

154

Views

Using Taylor series expansion to solve the equation $\frac{\tanh^{-1}(x)}{\beta} -2x =0$

Published on 16 Mar 2019 - 10:59

List Question

Solution verification: finding a Maclaurin series for $f(x)$, interval of convergence, and $f^{(100)}(0)$

Does $\int_{0}^{\pi ^2} \frac{dx}{1 - \cos \sqrt{x}}$ converge or diverge?

Finding the second Taylor polynomial for $f(x)$ given as a series

General formula for $\dfrac{d^n}{dx^n}e^{f(x)}$ vs. integer composition or Stirling Numbers 2nd kind

Does there always exist $x_0 \in \mathbb{R}$ such that $f(x_0) + f'(x_0)(x - x_0) + \frac{f''(x_0)}{2}(x - x_0)^2 \ge 0$ for all $x \in \mathbb{R}$?

Forming a series representation for $\tan^a(u)$

Maclaurin series for $\frac{\cos2x-1}{x^2}$ using Maclaurin series for $\cos2x$

Complement of Exponential Function Space

Two Taylor Series for $-\sin(x)$ are Equal But One Doesn't Work?

Expanding $\frac{1}{1-x}$

Find Maclaurin series of $f(x)$ = $x\ln(2+x^2)$

Taylor series of product of functions

How to find the Taylor series of $\sin^2(4x)$?

Summing over set of sets

Using Taylor series expansion to solve the equation $\frac{\tanh^{-1}(x)}{\beta} -2x =0$

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