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Homework Statement:
 Find ##\lim_{n\to\infty} \frac{(1)^n n^2}{(n+1)^2}##
Relevant Equations:

Partial decomposition:
$$\frac{1}{(n+1)^2}=A/(n+1)+B/(n+1)^2)$$
If there is no ##(1)^2## factor, I can find the limit. But, now I have no idea how to find limit for the ##(1)^\infty##. I thought ##(1)^\infty## is an indeterminate form. So, how to modify this? Thanks!