Given that f(x) = {{:((sqrt(1+kx)-sqrt(1...

Given that `f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):}` is continous at `x = 0`. Find k

A

-1

B

1

C

`-(1)/(2)`

D

`(1)/(2)`

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The correct Answer is:

C

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