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Finding sum of a power series explicitly

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#power-series
164
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The Taylor series of $e^{\alpha x}\over 1+x^2$

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#calculus #sequences-and-series #power-series #taylor-expansion
84
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What is the limit of $\lim_{n\to +\infty} n\left(\frac{e}{\left(1+\frac{1}{n}\right)^n}-1\right)$

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#limits #power-series #taylor-expansion
31
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Radius of convergence for series of $\sum_{n=0}^{\infty}\big(2+(-1)^n\big)x^n.$

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#convergence-divergence #power-series
49
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Which is the proper taylor series?

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#sequences-and-series #power-series #taylor-expansion
39
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Reduction of a Power Series Solution Separated by an Integer?

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#ordinary-differential-equations #power-series #algebra-precalculus
405
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Sum of the Infinite Power Series

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#power-series #taylor-expansion #exponential-function
189
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Getting the power series for the odd solution of an ODE

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#ordinary-differential-equations #recurrence-relations #power-series
76
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How to express $f(x)=\frac{1}{x-1} + \frac{1}{x-3}$ as a power series?

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#calculus #sequences-and-series #power-series #fractions
1k
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Inverse Laplace transform from a power series with finite radius of convergence

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#complex-analysis #power-series #laplace-transform
66
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Transform complex series into power series and find its radius of convergence

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#sequences-and-series #complex-analysis #complex-numbers #power-series
70
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How could I re-express the error term of a Taylor series into the integral mean value form?

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#power-series #taylor-expansion
60
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Simplify coefficients for power series and check radius of covergence computate.

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#complex-analysis #power-series
558
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How to prove this beautiful series by using Taylor and Maclaurin series

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#real-analysis #calculus #sequences-and-series #power-series
78
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Is this formula correct, series and Bernoulli numbers

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

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