17th March

Calculus Level 4

sin(2)13+sin(22)23+sin(32)33+=1ab+πbabπb\dfrac{\sin(\sqrt{2})}{1^3} +\dfrac{\sin(2\sqrt{2})}{2^3} +\dfrac{\sin(3\sqrt{2})}{3^3} +\cdots= \dfrac{1}{a\sqrt{b}}+\dfrac{π^b}{a\sqrt{b}}-\dfrac{π}{b}

The expression above holds true for two positive integers aa and bb. Find 2b+a2b+a.

The problem is original

×

Problem Loading...

Note Loading...

Set Loading...