Question

Find Maclaurin series for $x^2\ln(1+2x)$

score 3.5k · Answer 1 · 2020-04-30 17:38:01

3.5k

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Find Maclaurin series for $x^2\ln(1+2x)$

Published on 30 Apr 2020 - 17:38

score 74 · Answer 2 · 2020-04-30 19:06:22

74

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Taylor series expansion of log function.

Published on 30 Apr 2020 - 19:06

score 138 · Answer 3 · 2020-04-30 20:34:44

138

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Proof Verification and Taylor Series

Published on 30 Apr 2020 - 20:34

score 50 · Answer 4 · 2020-05-01 13:08:36

50

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How can you reduce the number of vectors in a Taylor expansion?

Published on 01 May 2020 - 13:08

score 537 · Answer 5 · 2026-03-30 09:41:04

537

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Proof of binomial theorem for non-integers

Published on 30 Mar 2026 - 9:41

score 30 · Answer 6 · 2020-05-03 05:20:00

30

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Show that $ \sum_{n=1}^\infty \frac{2}{2n+1} (\frac{j}{v})^{2n+1} < (\frac{j}{v})^3$.

Published on 03 May 2020 - 5:20

score 629 · Answer 7 · 2026-03-25 19:51:36

629

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Frechet derivatives and Taylor expansion of a rational power of a matrix

Published on 25 Mar 2026 - 19:51

score 87 · Answer 8 · 2026-03-25 17:36:28

87

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Is there a function whose Dirichlet series and whose Taylor series are the same?

Published on 25 Mar 2026 - 17:36

score 187 · Answer 9 · 2020-05-04 05:48:11

187

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Equating coefficients of Taylor series in the limit?

Published on 04 May 2020 - 5:48

score 265 · Answer 10 · 2026-03-26 04:30:11

265

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Taylor series using Lie derivatives

Published on 26 Mar 2026 - 4:30

score 50 · Answer 11 · 2026-03-28 16:13:30

50

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Shouldn't we ensure |z|<1 before proceeding further in this question?

Published on 28 Mar 2026 - 16:13

score 25 · Answer 12 · 2020-05-05 00:24:40

25

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Using the Taylor Series of One Function to Approximate for Another Function

Published on 05 May 2020 - 0:24

score 52 · Answer 13 · 2020-05-05 08:27:35

52

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Finding a function from the derivatives at 0

Published on 05 May 2020 - 8:27

score 69 · Answer 14 · 2020-05-05 20:56:15

69

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Proving inequality involving derivatives with Taylor polinomials.

Published on 05 May 2020 - 20:56

score 29 · Answer 15 · 2026-04-08 15:01:08

29

Views

Use $\frac{1}{x+1}$ to show that $\ln(x+1) = x - \frac{x^2}{2} + \frac{x^3}{3} - \dots + (-1)^{n-1} \frac{x^n}{n} + \int_{0}^{x} \frac{(-t)^n}{1+t}$

Published on 08 Apr 2026 - 15:01

List Question

Find Maclaurin series for $x^2\ln(1+2x)$

Taylor series expansion of log function.

Proof Verification and Taylor Series

How can you reduce the number of vectors in a Taylor expansion?

Proof of binomial theorem for non-integers

Show that $ \sum_{n=1}^\infty \frac{2}{2n+1} (\frac{j}{v})^{2n+1} < (\frac{j}{v})^3$.

Frechet derivatives and Taylor expansion of a rational power of a matrix

Is there a function whose Dirichlet series and whose Taylor series are the same?

Equating coefficients of Taylor series in the limit?

Taylor series using Lie derivatives

Shouldn't we ensure |z|<1 before proceeding further in this question?

Using the Taylor Series of One Function to Approximate for Another Function

Finding a function from the derivatives at 0

Proving inequality involving derivatives with Taylor polinomials.

Use $\frac{1}{x+1}$ to show that $\ln(x+1) = x - \frac{x^2}{2} + \frac{x^3}{3} - \dots + (-1)^{n-1} \frac{x^n}{n} + \int_{0}^{x} \frac{(-t)^n}{1+t}$

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