Question

Find the summation (from n= 1 to infinity) of ((-1)^n*n^2)/(2n^2+1)

Answer 1

not likely

Answer 2

the terms do not go to zero
they do not converge to any limit

Answer 3

\[\sum_{1}^{\infty} \frac{ -1^{n}n ^{2} }{ 2n^{2} + 1 }\]

Answer 4

I got inconclusive, but that was not a answer choice

Answer 5

there is no answer
you can check it by computing the partial sums and seeing that they do not converge

Answer 6

Thank You, I have to talk to my teacher about this one. She must have made a mistake