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What is the Taylor series representation of $f(x) = \sqrt{x}$ about $c = 1$ without use of double factorial?

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#calculus #sequences-and-series #power-series #taylor-expansion
61
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$\sum_{n=1}^\infty \frac{\mu (n) z^n}{1-z^n} = z$

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#power-series #analytic-number-theory
32
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Unable to proceed with solving ODE using power series due to more than two terms in recurrence relation

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#ordinary-differential-equations #power-series
51
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Is this the correct convergence interval and radius of power series?

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#sequences-and-series #convergence-divergence #power-series #solution-verification
891
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Represent $f(x)=\ln x$ as power series, in powers of $(x-4)$

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#sequences-and-series #power-series
271
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Simplification of a sum of factorials

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#sequences-and-series #power-series
762
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Integration of Series Expansion of Exponential Function

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#real-analysis #integration #power-series #exponential-function
31
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Is this solution to this power series problem correct?

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#sequences-and-series #power-series #solution-verification
690
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Representing $f(x)=\frac{1}{x^2}$ as power series, with powers of $(x+2)$

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#sequences-and-series #power-series
181
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Order of a power series

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#complex-analysis #power-series #entire-functions
80
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Calculate sum of $\sum_{n=0}^\infty {1\over{(4n)!}}$

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#complex-analysis #power-series
30
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Calculate the Power Series A(z)

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#calculus #sequences-and-series #power-series
33
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Different Taylor expansion justification

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#calculus #power-series #taylor-expansion
39
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what does the notation $(x,y)^2$ mean in the representation $F(x,y) \equiv x+y \mod (x,y)^2$?

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#abstract-algebra #power-series
52
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Value of series sum question

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#sequences-and-series #power-series

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