Question

Does ((-1)^n)/n^2 converge?

Answer 1

yeah. use the test for convergence

Answer 2

for alernating series

Answer 3

n>M->abs(-1^n/n2)=1/n2<1/M2

Answer 4

It shows it is converged.

Answer 5

Thanks, the limit of the magnitude of the function as n approches infinite is zero so it is convergent