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Question Number 213744 by efronzo1 last updated on 15/Nov/24

Answered by golsendro last updated on 15/Nov/24

$$=\underset{x\to 0}{\lim }\frac{{(1+4\mathrm{x})}^{\frac{3}{4}}+{(1-4\mathrm{x})}^{\frac{3}{4}}-2}{{\mathrm{x}}^2}$$$$=\underset{x\to 0}{\lim }\frac{3{(1+4\mathrm{x})}^{-\frac{1}{4}}-3{(1-4\mathrm{x})}^{-\frac{1}{4}}}{2\mathrm{x}}$$$$=\underset{x\to 0}{\lim }\frac{-3{(1+4\mathrm{x})}^{-\frac{5}{4}}-3{(1-4\mathrm{x})}^{-\frac{5}{4}}}{2}$$$$=-3$$

Commented by SaifuddinSiam last updated on 15/Nov/24

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