query: Calculate the leading-order asymptotic behaviour (Laplace's Method)
positive_passages.docid: 157917
positive_passages.text: Calculate the leading order asymptotic behaviour (with two maxima)
negative_passages.docid: 146326
negative_passages.text: Question about Big O notation for asymptotic behavior in convergent power series
negative_passages.docid: 79960
negative_passages.text: How to use Stokes theorem in the presence of holes?
negative_passages.docid: 26211
negative_passages.text: Computing $\lim_{x \to \infty} x \biggl[ \frac{1}{e} - \left( \frac{x}{x+1} \right)^x \biggr]$
negative_passages.docid: 45317
negative_passages.text: Asymptotic behaviour of a multiple integral on the unit hypercube
negative_passages.docid: 89883
negative_passages.text: Find the leading order uniform approximation when the conditions are not $0<x<1$
negative_passages.docid: 119106
negative_passages.text: Compute: $\lim_{x\to 0}\frac{\sqrt[m]{\cos(\alpha x)}-\sqrt[n]{\cos{(\beta x)}}}{x^2},\;m,n\in\mathbb N,\alpha,\beta\in\mathbb R$
negative_passages.docid: 125529
negative_passages.text: A question about the idea of Laplace transform
negative_passages.docid: 156448
negative_passages.text: Evaluate the limit without using the L'Hôpital's rule
negative_passages.docid: 137380
negative_passages.text: Euler's Constant: The asymptotic behavior of $\left(\sum\limits_{j=1}^{N} \frac{1}{j}\right) - \log(N)$
negative_passages.docid: 95226
negative_passages.text: Laplace operator's interpretation
negative_passages.docid: 158614
negative_passages.text: Laplace transform of $1/t$
negative_passages.docid: 126838
negative_passages.text: Moment generating function of Laplace distribution step by step
negative_passages.docid: 59409
negative_passages.text: Show Laplace operator is rotationally invariant
negative_passages.docid: 138314
negative_passages.text: Laplace transform of integral constant
negative_passages.docid: 136869
negative_passages.text: Fastest converging method for calculating e
negative_passages.docid: 33806
negative_passages.text: find an approximate solution, up to the order of epsilon