Question

n^2/(3n^4+2)..is this series converging or diverging as n goes from 1 to infinity?? please help!

Answer 1

converging. the denominator approaches infinity for large values of n. so for large values of n, the expression is approx. 0.

Answer 2

ok. so if the degree of the variable in the denominator is greater, then its always converging to zero??

Answer 3

in most cases, yes.

Answer 4

basically, your equation becomes n^2/3n^4 for large values of n. or 1/3n^2

Answer 5

ok thank you. can we prove this by using the limit comparision test?? or any other tests?

Answer 6

yes you can.

Answer 7

http://en.wikipedia.org/wiki/Convergence_tests