Recent content by chooooch

  1. C

    Can a Convergent Series Prove the Divergence of Another Series?

    Homework Statement Suppose that ∑_(n=1)^∞▒a_n where a_n≠0 is known to be a convergent series. Prove that ∑_(n=1)^∞▒1/a_n is a divergent series. Homework Equations The Attempt at a Solution if ∑_(n=1)^∞▒a_n is convergent then lim n→∞ a_n = 0. thus for some N a_n>1 and a_n...