# Oh, look!

Calculus Level 3

$\large\sum_{n=0}^\infty\frac{(-1)^n}{2n+1}$

If the value of the series above can be expressed as $$\dfrac{a\pi}b$$ for coprime positive integers $$a$$ and $$b$$, find the minimum nonzero positive value of $$a+b$$.

×