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Question Number 149373 by fotosy2k last updated on 05/Aug/21

Answered by john_santu last updated on 05/Aug/21

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

Commented by fotosy2k last updated on 05/Aug/21

$$thankyou$$

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