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

Let `f(x)={{:(,(ex^(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)`

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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  17. Let f(0,pi) to R be defined as f(x)={{:(,(1-sinx)/((pi-2x)^(2)).(In si...

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  18. If f(x)=(e^(2x) - (1+4x)^(1//2))/(ln(1-x^2)) for x != 0, then f has

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  20. Let f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+c,:x ge 1):}. If f''(1) exists...

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