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**1. Homework Statement**

[tex]\lim_{n \to \infty}\frac{(-1)^{n+1} \cdot n^2}{n^2+1}[/tex]

**2. Homework Equations**

[tex]\lim_{n \to \infty}a_n \neq 0 \rightarrow S \ is \ divergent[/tex]

**3. The Attempt at a Solution**

I tried L'Hopital's rule, but I could not figure out how to find the limit of that pesky [itex](-1)^{n+1}[/itex].

Edit: This is not actually a geometric series, disregard that part of the title.