Expand-e-1-x-x-x-2-

Question Number 107883 by Ar Brandon last updated on 13/Aug/20

Expand e^{1 / x} \sqrt{x (x + 2)}

Answered by Dwaipayan Shikari last updated on 13/Aug/20

e^{\frac{1}{x}} = 1 + \frac{1}{x} + \frac{1}{x^{2} 2!} + \frac{1}{x^{3} 3!} + \frac{1}{x^{4} 4!} + \dots

x \sqrt{1 + \frac{2}{x^{2}}} = x (1 + \frac{1}{x^{2}} - \frac{1}{2 x^{4}} + \dots .)