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Let f(x)={{:(,(e^(x^2)-(2)/(pi)sin^(-1)s...

Let `f(x)={{:(,(e^(x^2)-(2)/(pi)sin^(-1)sqrt(1-x))/(In(1+sqrtx)),x in (0,1)),(,k,x le 0):}` be a continuous at x=0, then the value of k, is

A

`1+(2)/(pi)`

B

`1-(2)/(pi)`

C

`(2)/(pi)`

D

`-(2)/(pi)`

Text Solution

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The correct Answer is:
C
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