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## Homework Statement:

- find out for what values of p > 0 this integral is convergent

## Relevant Equations:

- improper integrals

find out for what values of p > 0 this integral is convergent

##\displaystyle{\int_0^\infty x^{p-1}e^{-x}\,dx}\;##

so i broke them up to 2 integrals one from 0 to 1 and the other from 1 to ∞ and use the limit convergence test. but i found out that there are no vaules of p that makes both of parts of the integral to converge.. is it right?

it seems i posted this tread twice by mistake but i dont know how to delete one..

##\displaystyle{\int_0^\infty x^{p-1}e^{-x}\,dx}\;##

so i broke them up to 2 integrals one from 0 to 1 and the other from 1 to ∞ and use the limit convergence test. but i found out that there are no vaules of p that makes both of parts of the integral to converge.. is it right?

it seems i posted this tread twice by mistake but i dont know how to delete one..

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