Question

Let $f\left(x\right)=\begin{cases} 0 & -1\leq x\leq0\\ x^4 & 0<x\leq1 \end{cases}$. In the taylor's formula for x=0 with maximum possible value of n

score 95 · Answer 1 · 2018-01-25 15:38:44

95

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Let $f\left(x\right)=\begin{cases} 0 & -1\leq x\leq0\\ x^4 & 0<x\leq1 \end{cases}$. In the taylor's formula for x=0 with maximum possible value of n

Published on 25 Jan 2018 - 15:38

score 170 · Answer 2 · 2026-03-22 21:14:56

170

Views

If power series in two variables and logarithmically convex Reinhardt domains

Published on 22 Mar 2026 - 21:14

score 44 · Answer 3 · 2026-03-22 08:19:11

44

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Power series development for $\frac{1}{4-x^4}$

Published on 22 Mar 2026 - 8:19

score 64 · Answer 4 · 2026-03-22 02:49:47

64

Views

Is the sum a formal power series?

Published on 22 Mar 2026 - 2:49

score 203 · Answer 5 · 2018-01-26 13:37:46

203

Views

Integration of an exponential function over a triangle. Numerically stable approximation to the infinite sum?

Published on 26 Jan 2018 - 13:37

score 452 · Answer 6 · 2026-03-17 20:10:57

452

Views

Coefficients of the stirling's series expansion for the factorial.

Published on 17 Mar 2026 - 20:10

score 33 · Answer 7 · 2018-01-28 08:31:50

33

Views

The radius of convergence of $\sum_0^\infty f(n)x^n$

Published on 28 Jan 2018 - 8:31

score 729 · Answer 8 · 2018-01-29 17:51:05

729

Views

Harmonic series removing all terms with a $0$ in the denominator

Published on 29 Jan 2018 - 17:51

score 187 · Answer 9 · 2018-01-30 04:21:05

187

Views

Converting a taylor series with complex numbers to sigma notation: $x + (1+x^2)^(1/2)$

Published on 30 Jan 2018 - 4:21

score 35 · Answer 10 · 2026-03-22 21:33:11

35

Views

Rate of convergence of the series for complex function

Published on 22 Mar 2026 - 21:33

score 42 · Answer 11 · 2026-03-22 15:41:22

42

Views

Riemann rearrangement of series applies here?

Published on 22 Mar 2026 - 15:41

score 1.2k · Answer 12 · 2018-02-01 03:40:19

1.2k

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Proof of the generating function of $1 -2x +3x^2 -4x^3+5x^4-6x^5+\cdots$

Published on 01 Feb 2018 - 3:40

score 82 · Answer 13 · 2018-02-03 10:33:44

82

Views

Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$

Published on 03 Feb 2018 - 10:33

score 572 · Answer 14 · 2026-03-19 14:06:17

572

Views

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Published on 19 Mar 2026 - 14:06

score 997 · Answer 15 · 2018-02-03 16:39:43

997

Views

Determine the values of $x$ for which the given power series converges.

Published on 03 Feb 2018 - 16:39

List Question

Let $f\left(x\right)=\begin{cases} 0 & -1\leq x\leq0\\ x^4 & 0<x\leq1 \end{cases}$. In the taylor's formula for x=0 with maximum possible value of n

If power series in two variables and logarithmically convex Reinhardt domains

Power series development for $\frac{1}{4-x^4}$

Is the sum a formal power series?

Integration of an exponential function over a triangle. Numerically stable approximation to the infinite sum?

Coefficients of the stirling's series expansion for the factorial.

The radius of convergence of $\sum_0^\infty f(n)x^n$

Harmonic series removing all terms with a $0$ in the denominator

Converting a taylor series with complex numbers to sigma notation: $x + (1+x^2)^(1/2)$

Rate of convergence of the series for complex function

Riemann rearrangement of series applies here?

Proof of the generating function of $1 -2x +3x^2 -4x^3+5x^4-6x^5+\cdots$

Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Determine the values of $x$ for which the given power series converges.

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