Dominated 2! Its Algebra cum Geometry

Calculus Level 3

\[\sqrt{\frac{1}{2}}\times \sqrt{\frac{1}{2}+\frac{1}{2}\sqrt{\frac{1}{2}}}\times \sqrt{\frac{1}{2}+\frac{1}{2}\sqrt{\frac{1}{2}+\frac{1}{2}\sqrt{\frac{1}{2}}}}\times \cdots = \dfrac{a}{b\pi }\]

The equation above holds true for coprime positive integers \(a\) and \(b\), find the value of \(a^2 + 3b\).

×

Problem Loading...

Note Loading...

Set Loading...