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$1^2-2^2+3^2-4^2+…-2016^2+2017^2=2017k$ (Solve for $k$)

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#power-series
50
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Determine the radius of convergence of two power series:

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#analysis #power-series
52
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$\ln(n+a)-\ln(n-a)=2(\frac an+\frac{a^3}{3n^3}+\frac{a^5}{5n^5}+\dots)$

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#logarithms #power-series
42
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Need help with some Calculus II power series problems?

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#calculus #convergence-divergence #power-series
131
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Series expansion of $\left(1 + x^2\right)^{-1/2}$

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#sequences-and-series #convergence-divergence #power-series #taylor-expansion
105
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Find the sum of the series $1+\frac12 z^2+\frac{1\cdot3}{2\cdot4}z^4+....$

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#sequences-and-series #complex-analysis #power-series
69
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Domain of convergence of $\sum n e^{-n}z^n$ .

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#complex-analysis #convergence-divergence #power-series
59
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Computing $\sum_{k=1}^\infty \frac{1}{k^k}$ analytically

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#sequences-and-series #analysis #power-series
390
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Compute Maclaurin expansion of $f(x)=e^{5x^2}$ and find a type for $f^{(n)}(0)$

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#power-series #taylor-expansion #exponential-function
451
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Radius of convergence of a "subseries" of a series.

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#sequences-and-series #complex-analysis #power-series
113
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To determine all holomorphic functions $f$

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#complex-analysis #power-series
53
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To determine the radius of convergence of a series

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#real-analysis #convergence-divergence #power-series
39
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Do the first and second order differentiation imply that the coefficients of two power series are equal for $n \geq 2$?

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#real-analysis #power-series
74
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To prove a function is integrable over a closed interval

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#real-analysis #definite-integrals #power-series
58
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Power Representation of A Series

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#calculus #sequences-and-series #power-series

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