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Exact result of a series using Euler-Maclaurin expansion.

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#calculus #real-analysis #numerical-methods #bernoulli-numbers #euler-maclaurin
654
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Euler-Maclaurin formula and Stirling's approximation, Spivak Calculus problem 27-19

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#real-analysis #euler-maclaurin
55
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10th derivative by MacLaurin

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#euler-maclaurin
1.7k
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Absolute value of a Maclaurin series

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#complex-analysis #taylor-expansion #absolute-value #absolute-convergence #euler-maclaurin
131
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Do Taylor series model their functions to 100% accuracy?

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#power-series #taylor-expansion #euler-maclaurin
57
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A way to approximate or reexpress the Bernoulli number containing sum in the Euler-Maclaurin approximation of the Riemann-zeta function?

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#combinatorics #riemann-zeta #euler-maclaurin
62
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Verifying Big O of remainder term when deriving Stirling's approximation formula

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#integration #asymptotics #improper-integrals #euler-maclaurin #bernoulli-polynomials
4k
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Deriving the Maclaurin Series for sin(x)/x

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#calculus #functions #power-series #taylor-expansion #euler-maclaurin
316
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Asymptotics (big-O) for power sum

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#real-analysis #sequences-and-series #asymptotics #euler-maclaurin
31
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Determine the specific value of the division of two factorial series

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#limits #summation #power-series #taylor-expansion #euler-maclaurin
87
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evaluation of $\sum_{n=-\infty}^{\infty}e^{-2\pi^{2}z^{2}n^{2}}$ for large z

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#sequences-and-series #theta-functions #euler-maclaurin
54
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Taylor & Maclaurin polynomials number of times you should derivate

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#derivatives #taylor-expansion #euler-maclaurin
292
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Infinite sum of cosines as a Gaussian

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#real-analysis #summation #trigonometric-series #euler-maclaurin
88
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MCQ: comparing two quantities; $\tan(1)$ and $\frac{\pi}{2}$

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#trigonometry #inequality #taylor-expansion #pi #euler-maclaurin
45
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Maclaurin series approximate problem

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#integration #numerical-methods #approximation #euler-maclaurin

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