may i know how do i show that Sn = n^2 /(n^2 +1) is increasing?
i tried ratio test and it gave an answer of 1..and i cant use comparision test since the denominator is not (n^2 -1).
How in earth can you show that the sequence is increasing by the comparison tests or the ratio test ??
Differentiate it and try to remember how to show that the function is increasing by using its derivative ..
If you want to test its convergence (as an infinite series not a sequence), clearly , so .. ?