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 101 · Answer 1 · 2026-05-02 12:47:49

101

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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 02 May 2026 - 12:47

score 176 · Answer 2 · 2026-05-03 08:52:35

176

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If power series in two variables and logarithmically convex Reinhardt domains

Published on 03 May 2026 - 8:52

score 48 · Answer 3 · 2026-05-04 10:45:18

48

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

Published on 04 May 2026 - 10:45

score 69 · Answer 4 · 2026-05-02 00:31:32

69

Views

Is the sum a formal power series?

Published on 02 May 2026 - 0:31

score 206 · Answer 5 · 2026-05-02 00:44:58

206

Views

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

Published on 02 May 2026 - 0:44

score 458 · Answer 6 · 2026-04-29 12:42:46

458

Views

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

Published on 29 Apr 2026 - 12:42

score 37 · Answer 7 · 2026-05-02 09:50:08

37

Views

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

Published on 02 May 2026 - 9:50

score 733 · Answer 8 · 2026-05-02 02:59:04

733

Views

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

Published on 02 May 2026 - 2:59

score 191 · Answer 9 · 2026-05-02 00:05:56

191

Views

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

Published on 02 May 2026 - 0:05

score 41 · Answer 10 · 2026-04-20 10:33:12

41

Views

Rate of convergence of the series for complex function

Published on 20 Apr 2026 - 10:33

score 45 · Answer 11 · 2026-05-04 00:33:35

45

Views

Riemann rearrangement of series applies here?

Published on 04 May 2026 - 0:33

score 1.2k · Answer 12 · 2026-05-02 11:00:58

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 02 May 2026 - 11:00

score 86 · Answer 13 · 2026-04-30 09:50:09

86

Views

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

Published on 30 Apr 2026 - 9:50

score 582 · Answer 14 · 2026-05-07 10:03:04

582

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

Published on 07 May 2026 - 10:03

score 1k · Answer 15 · 2026-05-02 12:36:07

1k

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

Published on 02 May 2026 - 12:36

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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