Register to reply

Series expansion of an integral at infinity

by Irid
Tags: expansion, infinity, integral, series
Share this thread:
Irid
#1
Oct5-13, 11:48 AM
P: 208
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 n 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).
Phys.Org News Partner Science news on Phys.org
What lit up the universe?
Sheepdogs use just two simple rules to round up large herds of sheep
Animals first flex their muscles

Register to reply

Related Discussions
Series expansion of Sine Integral Si(x) Calculus & Beyond Homework 4
Finding a power series expansion for a definite integral Calculus & Beyond Homework 2
Series expansion of an integral Calculus 4
Series expansion of integral (ln(x))^2/(1+x^2) dx from 0 to infinity Calculus & Beyond Homework 0
A Definite integral where solution. involves infinity - infinity Calculus & Beyond Homework 8