Question

Eu duvido alguém resolver esse MONSTRO! 99 Pontos

Answer 1

$E=\sqrt{x_1\sqrt{x_2\sqrt{x_3\cdots \sqrt{x_n\sqrt{x_1\sqrt{x_2\sqrt{x_3\cdots\sqrt{x_n\cdots}}}}}}}}\\ \\ E=\sqrt{x_1\sqrt{x_2\sqrt{x_3\cdots \sqrt{x_n E}}}} \\ \\ E=\sqrt[2^n]{x_n\cdot x_{n-1}^2\cdot x_{n-2}^{4}\cdots x_{i}^{2^{n-i}}\cdots x_1^{2^{n-1}}E}\\ \\ E^{2^n}=x_n\cdot x_{n-1}^2\cdot x_{n-2}^{4}\cdots x_{i}^{2^{n-i}}\cdots x_1^{2^{n-1}}E$

$E^{2^n-1}=x_n\cdot x_{n-1}^2\cdot x_{n-2}^{4}\cdots x_{i}^{2^{n-i}}\cdots x_1^{2^{n-1}}\\ \\ E=\left(x_n\cdot x_{n-1}^2\cdot x_{n-2}^{4}\cdots x_{i}^{2^{n-i}}\cdots x_1^{2^{n-1}}\right)^{\dfrac{1}{2^n-1}}$