Question

Lim x tends to 0 x^2 cos x / 1-cos x

Answer 1

$\lim_{x\rightarrow0} \frac{x^2Cosx}{1-Cosx}$

Differentiating numerator and denominator

$=\lim_{x\rightarrow0} \frac{2xCosx-x^2Sinx}{Sinx}$

Differentiating it for a second time

$=\lim_{x\rightarrow0} \frac{2Cosx-2xSinx-2xSinx-x^2Cosx}{Cosx}$

Substituting x = 0

$=\lim_{x\rightarrow0} \frac{2}{1}$

$= 2$

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Answer 2

Answer:

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