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Solving Maclaurin series

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#taylor-expansion #euler-maclaurin
229
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Euler-Maclaurin Formula Definition Confusion

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#real-analysis #calculus #bernoulli-numbers #euler-maclaurin
70
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I want to learn about -1/12

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#summation #euler-maclaurin #ramanujan-summation
210
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Property of the remainder term in the Euler-Maclaurin formula for $\sum_{i=1}^n\log i$.

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#integration #asymptotics #improper-integrals #euler-maclaurin #bernoulli-polynomials
341
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How do I use the Euler-Maclaurin Summation to find the zeros of the Riemann-Zeta function?

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#riemann-zeta #euler-maclaurin
271
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Maclaurin series expansion of $f(x) = \ln(3x^2 +4x +1)$

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#euler-maclaurin
145
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Asymptotic formula for $\sum_{k=N}^\infty \frac{x^k}{k!}$ as $N \to \infty$

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#sequences-and-series #asymptotics #euler-maclaurin
294
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High precision evaluation of the series $\sum_{n=3}^\infty (-1)^n (1-n^{1/n})$

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#sequences-and-series #approximation #euler-maclaurin
1.1k
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Derive taylor series of $e^{\sin(x)}$ in two different ways

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#calculus #taylor-expansion #euler-maclaurin
2.3k
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Euler-Maclaurin summation for $e^{-x^2}$

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#summation #euler-maclaurin
914
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Finding an asymptotic expansion for $\sum_{k=0}^{n} \frac{1}{1+\frac{k}{n}}$

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#summation #asymptotics #euler-maclaurin
933
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eulers original derivation for the Euler–Maclaurin formula?

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#calculus #real-analysis #reference-request #math-history #euler-maclaurin
433
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Euler-Maclaurin Formula

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#calculus #numerical-methods #euler-maclaurin
579
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Calculate integrals using Euler-Maclaurin's formula.

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#definite-integrals #euler-maclaurin
575
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On an application of the Abel-Plana formula

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#integration #complex-analysis #limits #definite-integrals #euler-maclaurin

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