Is it complicated or complex?

Calculus Level 4

\[ \mathscr{E} = \displaystyle \sum_{n=0}^{\infty} \dfrac{\sin \left( \dfrac{\pi n}{2} + \dfrac{\pi}{4}\right) }{2^n} \]

If \( \mathscr{E} \) can be represented in the form \( \dfrac{a \sqrt{b}}{c} \), with \( a, c \) coprime positive integers and \( b\) square free, find \( a + b + c \).

×

Problem Loading...

Note Loading...

Set Loading...