Does this summation require advanced techniques?

Calculus Level 4

Evaluate \[ \large \sum_{n=1}^{\infty}\dfrac{1}{\binom{2n}{n}}\]

If the answer can be expressed as \(\dfrac{a+b\sqrt{c}\pi}{d}\), where \(a,b,c\) and \(d\) are positive integers, \(c\) is square-free, and \(d\) is minimal, then find \(a+b+c+d\).

×

Problem Loading...

Note Loading...

Set Loading...