Finding the Limit of a Summation with Infinite Terms

[cleopatra]

Homework Statement

∞
lim "sum"(1/n^2)
n→∞ n=0

Can you help me find the final solution?

The Attempt at a Solution

lim (1/n^2) = 0 ?
n-∞

But the "sum" confuses

 

[djeitnstine]

$$Lim_{n \rightarrow \infty} \Sigma \left( \frac{1}{n^{2}}\right)$$ So sum each successive term $$\frac{1}{1}+\frac{1}{2^{2}}+\frac{1}{3^{2}}+\frac{1}{4^{2}}+\frac{1}{5^{2}}...$$

 

[cleopatra]

There must be a way to find a final solution (with only one number).
Anybody?