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Question Number 145065 by Ar Brandon last updated on 02/Jul/21

$$\frac{1}{\sqrt{1+\mathrm{x}}}=1+\underset{\mathrm{k}=1}{\sum ^{\mathrm{n}}}\left[\frac{{(-1)}^{\mathrm{k}}}{2^{2\mathrm{k}}}{\mathrm{C}}_{2\mathrm{k}}^{\mathrm{k}}\right]{\mathrm{x}}^{\mathrm{k}}+\mathrm{o}\left({\mathrm{x}}^{\mathrm{n}}\right)$$

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