Recent content by Yohan

i am not familiar with the gamma function i understand how to find out if: ##\displaystyle{\int_0^\infty e^{-x}\,dx}\;## is convergance. because i know how to calculate it's antiderivative. but for ##\displaystyle{\int_0^\infty x^{p-1}e^{-x}\,dx}\;## when i try to use the limit test. i...

i think it is 1

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...