- #1

agnimusayoti

- 240

- 23

- 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!