1.

\lim _{x \rightarrow 0} \frac{x\left(e^{x}-1\right)}{1-\cos x} (Ans. 2) S N e x

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using L hospitaldifferentiating both numerator and denominatorhencee^x-1+x(e^x)/-sinxagain differentiate both numerator and denominatore^x+e^x+xe^x/cosxput in the limitse^0+e^0+0/11+1/1=2



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