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Question Number 44467 by maxmathsup by imad last updated on 29/Sep/18

$$calculate{lim}_{x\to 0}\frac{x^{n}sinx-sin\left(x^n\right)}{x}withnintegrnatural.$$

Answered by tanmay.chaudhury50@gmail.com last updated on 30/Sep/18

$$\underset{x\to 0}{\lim }\frac{x^{n}cosx+sinx\times {nx}^{n-1}-cos\left(x^n\right)\times {nx}^{n-1}}{1}$$$$=0$$

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