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Question Number 120301 by TITA last updated on 30/Oct/20

$$isitpossibletohave{(1+\frac{1}{x^4})}^{\frac{1}{2}}=(1+\frac{1}{2x^4})pleasehelp$$

Commented by Dwaipayan Shikari last updated on 30/Oct/20

$$When$$$$x\to \mathrm{\infty }$$

Commented by bemath last updated on 30/Oct/20

$$inlimititispossible.$$$$\underset{x\to 0}{\lim }{(1\pm f\left(x\right))}^n=\underset{x\to 0}{\lim }(1\pm nf\left(x\right))$$

Commented by Bird last updated on 30/Oct/20

$$iff\left(x\right)\to 0whenx\to 0weget$$$${(1+f\left(x\right))}^n\sim 1+nf\left(x\right)$$

Answered by Bird last updated on 30/Oct/20

$$forx\to \mathrm{\infty }\left(verybigvalue\right)$$

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