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If alpha = lim(x to 0) (x*2^(x)-x)/(1 - ...

If `alpha = lim_(x to 0) (x*2^(x)-x)/(1 - cos x) and beta= lim_(x to 0) (x*2^(x)- x)/(sqrt(1 + x^(2))-sqrt(1-x^(2)))` then

A

`alpha = 5 beta`

B

`alpha = 2beta`

C

`beta = 2alpha^(2)`

D

`beta = (1)/(6)alpha`

Text Solution

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The correct Answer is:
B
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