Reciprocal Sums
Calculus
Level
2
It is known that \( \frac{ 1}{1} + \frac{1}{2} + \frac{1}{3} + \cdots \) is infinite.
What about
\[ \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \cdots \ ?\]
Hint:
by
Calvin Lin