- #1
the_kid
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Homework Statement
Find the first two terms in an asymptotic expansion of the following as x goes to zero from the right (i.e. takes on smaller and smaller positive values).
[itex]\int^{1}_{0}[/itex]e[itex]^{-x/t}[/itex]dt
Homework Equations
The Attempt at a Solution
I'm not exactly sure how to proceed with this. I'm assuming I should expand the integrand as a Taylor series:
e[itex]^{-x/t}[/itex]=[itex]\sum^{\infty}_{k=0}[/itex][itex]\frac{(-x/t)^{k}}{k!}[/itex]
I'm kinda stuck here, though.