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Evaluate the following: \[ \displaystyle \lim_{x\ \to \ 0} \ \dfrac{e^x sinx-x-x^2}{x^2+xlog(1-x)}\]

written 3.5 years ago by teamques10 ★ 68k

modified 3.0 years ago by binitamayekar ★ 6.6k

engineering mathematics

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written 3.5 years ago by teamques10 ★ 68k

$=\lim\limits_{x\rightarrow0}=\dfrac{e^xsinx-x-x^2}{x^2+xlog(1-x)}=-\dfrac{2}{3}$

$=-\dfrac{2}{3}$

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