I have to determine if this integral is convergent or divergent! I know that i had to set the limit and everything, but i'm confused on how to start!
the integral of xe^-2x from 0 to infinity!
Then the limit doesn't exist. If it converges, then the limit exists so you should test first to see if the integral converges. Which test do you think you should try? (btw you may need to check for absolute convergence vs conditional convergence).