Let f:R→R be defined as f(x)=⎧⎪⎪⎨⎪⎪⎩x3(1−cos2x)2⋅l – InterviewSolution

1.	Let f:R→R be defined as f(x)=⎧⎪⎪⎨⎪⎪⎩x3(1−cos2x)2⋅loge(1+2xe−2x(1−xe−x)2),x≠0α,x=0If f is continuous at x=0, then α is equal to:
Answer» Let $f : R \to R$ be defined as $f (x) = ⎧ ⎪⎪ ⎨ ⎪⎪ ⎩ \begin{matrix} \frac{x^{3}}{(1 - cos 2 x)^{2}} \cdot {log}_{e} (\frac{1 + 2 x e^{- 2 x}}{(1 - x e^{- x})^{2}}) & , & x \neq 0 α & , & x = 0 \end{matrix}$ If $f$ is continuous at $x = 0$ , then $α$ is equal to:

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