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Forums
Mathematics
Calculus
Series expansion of an integral at infinity
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[QUOTE="Irid, post: 4527426, member: 83363"] Hello, I'm fiddling with Wolfram Alpha and I can't find a definition of what do they mean by the "Series expansion of the integral at x -> inf". In particular, I have two divergent integrals and I am wondering whether their ratio is some finite number. Here it is: [itex] \left[\int_0^{\infty} \frac{1}{x^n}e^{1/x}\, dx \right] \left[\int_{-\infty}^{+\infty}e^{u^2} \cos u\, du \right]^{-1}[/itex] where [I]n[/I] is a parameter. Based on wolfram's suggestion, I think that if n=2, the above expression converges to something meaningful, since both integrals apparently have the series expansion at infinity as exp(x^2). [/QUOTE]
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Forums
Mathematics
Calculus
Series expansion of an integral at infinity
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