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How can I arrive at a series expansion of $ (1+x^{\frac{1}{2}})^{\frac{1}{2}}$

score 512 · Answer 1 · 2018-09-09 02:50:19

512

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How can I arrive at a series expansion of $ (1+x^{\frac{1}{2}})^{\frac{1}{2}}$

Published on 09 Sep 2018 - 2:50

score 197 · Answer 2 · 2026-03-25 01:22:35

197

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Electric potential in the far region?

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score 1.9k · Answer 3 · 2018-09-09 18:39:34

1.9k

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expand $f(x,y)= x^y$ in $(x-1)$ and $(y-1)$

Published on 09 Sep 2018 - 18:39

score 41 · Answer 4 · 2026-03-25 04:35:53

41

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Optimal Values for a Taylor Series with Multiple Parameters

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score 365 · Answer 5 · 2018-09-10 12:27:25

365

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When does a Taylor expansion have only nonnegative coefficients

Published on 10 Sep 2018 - 12:27

score 80 · Answer 6 · 2018-09-10 13:41:28

80

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How can I evaluate $\sum_{m=0}^\infty \left(\frac{(m+n)!}{n!}\right)^a \frac{(-x)^m}{m!}$?

Published on 10 Sep 2018 - 13:41

score 175 · Answer 7 · 2018-09-10 18:14:58

175

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Evaluate $\lim_{x\rightarrow0}{\frac{(x-\arctan(x))\ln(1+2\sin(x))}{(1+\cos{x})(e^x-1-x)^2}}$ using Taylor

Published on 10 Sep 2018 - 18:14

score 57 · Answer 8 · 2018-09-11 07:11:43

57

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Taylor Polynomials : Error Function

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score 76 · Answer 9 · 2018-09-11 17:46:30

76

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Technical details of using series expansions to compute limits

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score 1.7k · Answer 10 · 2018-09-11 19:24:05

1.7k

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Taylor series of $\ln(1+(1/x))$

Published on 11 Sep 2018 - 19:24

score 1.8k · Answer 11 · 2018-09-12 12:04:17

1.8k

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Taylor Expansion of a Differential

Published on 12 Sep 2018 - 12:04

score 398 · Answer 12 · 2018-09-12 15:33:15

398

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[Stuck]: Final step of solving limit, Calculus I

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score 46 · Answer 13 · 2018-09-13 02:42:32

46

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How can we derive the third term of a quadratic approximation for a quadratic function?

Published on 13 Sep 2018 - 2:42

score 30 · Answer 14 · 2018-09-13 05:56:10

30

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Comparison of two different versions of Taylor expansion

Published on 13 Sep 2018 - 5:56

score 26 · Answer 15 · 2018-09-13 12:41:02

26

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How to find the 4th and 5th coefficients (a_4 and a_5) of the serie expansion of cos(1-cos(x))

Published on 13 Sep 2018 - 12:41

List Question

How can I arrive at a series expansion of $ (1+x^{\frac{1}{2}})^{\frac{1}{2}}$

Electric potential in the far region?

expand $f(x,y)= x^y$ in $(x-1)$ and $(y-1)$

Optimal Values for a Taylor Series with Multiple Parameters

When does a Taylor expansion have only nonnegative coefficients

How can I evaluate $\sum_{m=0}^\infty \left(\frac{(m+n)!}{n!}\right)^a \frac{(-x)^m}{m!}$?

Evaluate $\lim_{x\rightarrow0}{\frac{(x-\arctan(x))\ln(1+2\sin(x))}{(1+\cos{x})(e^x-1-x)^2}}$ using Taylor

Taylor Polynomials : Error Function

Technical details of using series expansions to compute limits

Taylor series of $\ln(1+(1/x))$

Taylor Expansion of a Differential

[Stuck]: Final step of solving limit, Calculus I

How can we derive the third term of a quadratic approximation for a quadratic function?

Comparison of two different versions of Taylor expansion

How to find the 4th and 5th coefficients (a_4 and a_5) of the serie expansion of cos(1-cos(x))

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