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Finding Maclaurin series f(x)

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#calculus #algebra-precalculus #taylor-expansion #euler-maclaurin
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The Maclaurin series for $e^{\sin(x)}$ up to the fourth term

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#calculus #taylor-expansion #euler-maclaurin
29
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What is the relation between restoring force and maclaurin series?

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#euler-maclaurin
451
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How to use Euler-Maclaurin summation to show the following relationship over Gamma function

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#gamma-function #binomial-theorem #bernoulli-numbers #euler-maclaurin
100
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Summing a series of integrals

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#calculus #definite-integrals #summation #euler-maclaurin
86
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Develop in series Mac-Laurin the function $f(x)={\frac{x^2}{1-x}}$

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#calculus #sequences-and-series #taylor-expansion #euler-maclaurin
140
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How fast does $\lim_{x\to 1^-} \sum_{k=0}^\infty \left( x^{k^2}-x^{(k+\alpha)^2}\right)$ go to $\alpha$?

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#limits #digamma-function #euler-maclaurin #lacunary-series
183
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Prove an equation holds in series: $\sum\limits_{x=0}^{\infty} xe^{-\lambda}\frac{\lambda^x}{x!}=\lambda$

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#sequences-and-series #euler-maclaurin
161
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Euler-Maclaurin summation formula for piecewise continuous functions

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#calculus #analysis #analytic-number-theory #euler-maclaurin
1.1k
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Maclaurin series of $f(g(x))$

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#taylor-expansion #euler-maclaurin
84
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Maclaurin representation of a function $f(x) = sin(\pi x)$

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#sequences-and-series #power-series #euler-maclaurin
48
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Find the value of the sum with accuracy up to $o(1)$.

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#calculus #euler-mascheroni-constant #euler-maclaurin
855
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Finding antiderivative by Maclaurin series

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#integration #taylor-expansion #euler-maclaurin
57
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Euler - Mc Laurin summation degree of precision

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#approximation #riemann-zeta #zeta-functions #euler-maclaurin
63
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Finding the Maclaurin series for the given function.

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#sequences-and-series #complex-analysis #taylor-expansion #power-series #euler-maclaurin

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