Use the limit comparison test withOriginally Posted by nappysnake;720594 Σ[n/[(n^3)-1
Hello,
could anybody please help me with the following infinite series .. Σ[n/[(n^3)-1], n=2 .. infinite?
i tried both the ratio test but it is equal to 1 so it is of no help, and the root test is useless, so what can i do to prove it converges? Does it converge?
Yeah, i thought of the limit comparisson test as my last resource BUT is NOT equal ,
BUT ,
therefor is useless for proving convergence because we require a fraction (series) for that matter which is greater. Am i right? Do i not see something?
ok i just googled limit comparisson test and i've realized that the limit comparisson test is different than the direct comparisson test and i didn't know that. thank you very much for the help and clarification.