checking my math, the sum, from 1 to infinity, of n/(n^3 + 1), by the integral test, would diverge since it goes to infinity

Question

danjs · Answer

what did you come up with?

danjs · Answer

well for the integral test , if the integral of x/(x^3+1) from 1 to infinity converges, so does the infinite sum of a(n)

anonymous · Answer

i got that it was 1/5, which is less that 1, but it also goes to infinity, by the the integral

anonymous · Answer

integral test*

anonymous · Answer

hello?

danjs · Answer

sorry, 

here is a good reference

danjs · Answer

danjs · Answer

look at the 14th one down, CalculusSequenceandSeriesQuestionswithSolutions
here, page 15 and on for examples

danjs · Answer