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

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

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

$$e^{\frac{1}{x}}=1+\frac{1}{x}+\frac{1}{x^{2}2!}+\frac{1}{x^{3}3!}+\frac{1}{x^{4}4!}+...$$$$x\sqrt{1+\frac{2}{x^2}}=x(1+\frac{1}{x^2}-\frac{1}{2x^4}+....)$$

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