Let f : R rarr R be defined as f(x) = {{...

Let `f : R rarr R` be defined as `f(x) = {{:((x^(3))/((1-cos 2x)^(2)) log_(e)((1+2x e^(-2x))/((1-x e^(-x))^(2))),",",x ne 0),(alpha,",", x =0):}`.
If f is continuous at x = 0, then `alpha` is equal to :

A

2

B

0

C

3

D

1

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The correct Answer is:

D

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