Question

Determining the McLaurin series of $(1-z)e^{-z}$

score 45 · Answer 1 · 2019-04-14 15:07:34

45

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Determining the McLaurin series of $(1-z)e^{-z}$

Published on 14 Apr 2019 - 15:07

score 38 · Answer 2 · 2019-04-14 18:28:53

38

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What is the radius of convergence of $i + \dfrac{2}{1-i}\displaystyle\sum_{j=1}^{\infty} \biggl(\dfrac{z-i}{1-i}\biggr)^{j}$?

Published on 14 Apr 2019 - 18:28

score 1.3k · Answer 3 · 2026-03-26 18:30:01

1.3k

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understanding the difference between Laurent and Taylor series.

Published on 26 Mar 2026 - 18:30

score 82 · Answer 4 · 2026-03-25 00:25:06

82

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Using series to approximate definite integrals.

Published on 25 Mar 2026 - 0:25

score 40 · Answer 5 · 2019-04-15 08:40:42

40

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Taylor series, the n-term calculation

Published on 15 Apr 2019 - 8:40

score 8.6k · Answer 6 · 2019-04-15 15:08:28

8.6k

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Find the Sum of the Series: $\sum_{0}^{\infty}\frac{(-1)^n\pi^{2n}}{6^{2n}(2n)!}$

Published on 15 Apr 2019 - 15:08

score 83 · Answer 7 · 2019-04-15 17:38:26

83

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What is the Maclaurin series representation of $(1 - \frac{x}{5})^{-4}$

Published on 15 Apr 2019 - 17:38

score 86 · Answer 8 · 2019-04-15 19:02:03

86

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Find the Taylor Polynomial $T_{3}$ for the Function $f(x) = \frac{5x}{2+4x}$

Published on 15 Apr 2019 - 19:02

score 70 · Answer 9 · 2026-03-30 17:00:28

70

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Taylor series of complex function confusion with big O notation

Published on 30 Mar 2026 - 17:00

score 2k · Answer 10 · 2019-04-17 03:24:53

2k

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How do I formally show the radius of convergence of the Taylor series of $f(x)=x^6 - x^4 + 2$ at $a=-2$?

Published on 17 Apr 2019 - 3:24

score 4.7k · Answer 11 · 2019-04-17 05:09:32

4.7k

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What does $F'$ and $F''$ mean?

Published on 17 Apr 2019 - 5:09

score 109 · Answer 12 · 2026-03-25 17:20:09

109

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How many solutions does equation $\int\limits_x^{x+\frac{1}{2}} \cos \left( \frac{t^2}{3} \right) dt = 0$ have on the segment [0, 3]?

Published on 25 Mar 2026 - 17:20

score 3.1k · Answer 13 · 2026-03-28 05:00:49

3.1k

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How can Taylor series diverge?

Published on 28 Mar 2026 - 5:00

score 112 · Answer 14 · 2026-03-27 15:20:11

By creating a Maclaurin series up to an including $x^4$ for $\ln(\cos x)$ shows that $\ln2 \approx \frac{\pi^2}{16}\left( 1+\frac{\pi^2}{96}\right)$

score 1.3k · Answer 15 · 2019-04-18 21:42:25

1.3k

Views

Finding Taylor series third degree polynomial. What form does the general equation for the term have to be in?

Published on 18 Apr 2019 - 21:42

List Question

Determining the McLaurin series of $(1-z)e^{-z}$

What is the radius of convergence of $i + \dfrac{2}{1-i}\displaystyle\sum_{j=1}^{\infty} \biggl(\dfrac{z-i}{1-i}\biggr)^{j}$?

understanding the difference between Laurent and Taylor series.

Using series to approximate definite integrals.

Taylor series, the n-term calculation

Find the Sum of the Series: $\sum_{0}^{\infty}\frac{(-1)^n\pi^{2n}}{6^{2n}(2n)!}$

What is the Maclaurin series representation of $(1 - \frac{x}{5})^{-4}$

Find the Taylor Polynomial $T_{3}$ for the Function $f(x) = \frac{5x}{2+4x}$

Taylor series of complex function confusion with big O notation

How do I formally show the radius of convergence of the Taylor series of $f(x)=x^6 - x^4 + 2$ at $a=-2$?

What does $F'$ and $F''$ mean?

How many solutions does equation $\int\limits_x^{x+\frac{1}{2}} \cos \left( \frac{t^2}{3} \right) dt = 0$ have on the segment [0, 3]?

How can Taylor series diverge?

By creating a Maclaurin series up to an including $x^4$ for $\ln(\cos x)$ shows that $\ln2 \approx \frac{\pi^2}{16}\left( 1+\frac{\pi^2}{96}\right)$

Finding Taylor series third degree polynomial. What form does the general equation for the term have to be in?

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