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As $x \to 0$ this approaches zero since the zero of $e^{\frac{-1}{x^2}}$ beats out the pole of $\frac{1}{Q_k(x)}$?

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#real-analysis #asymptotics
126
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Non-trivial inverse Laplace transform

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#complex-analysis #asymptotics #laplace-transform
124
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Asymptotics of $\sum_{n}e^{-n^{2}}$.

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#sequences-and-series #summation #asymptotics #error-function
13.2k
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How to calculate duration of event at different speeds

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#algebra-precalculus #asymptotics
373
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Asymptotic expansion of $(1+\epsilon)^{s/\epsilon}$

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#sequences-and-series #asymptotics #power-series #epsilon-delta
265
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For some arbitrarily fast growing function $f$ and a strictly sublinear function $g$, can $g \circ \cdots \circ g \circ f$ always grow polynomially?

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#asymptotics #function-and-relation-composition
4.4k
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Finding the upper tight bound of a mathematical function. (Big O)

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#functions #asymptotics
1.3k
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Density of a set of numbers.

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#number-theory #elementary-number-theory #asymptotics #recreational-mathematics
86
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Estimate for a prime product.

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#prime-numbers #asymptotics
127
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What is an accurate approximation and asymptotic for this function?

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#asymptotics #approximation
97
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A Simple Stochastic Integral Asymptotics

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#stochastic-processes #asymptotics #stochastic-calculus #stochastic-integrals #integral-inequality
79
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Asymptotic evaluation of a quantity

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#asymptotics #lambert-w
22
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How is it true that for large $t$, $(1+O(1/t))e^{-2\ln t O(1/t)}=1+O(\ln t/t)$?

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#analysis #asymptotics
54
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Incomplete Gamma Asymptotics

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#asymptotics #special-functions
769
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Can I integrate an asymptotic expression?

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#integration #asymptotics #perturbation-theory #eigenfunctions

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