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If f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if "...

If `f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if ", -1le x lt 0),((2x+1)/(x-1), " if ", x le x le1):}`
is continuous at x = 0 , then the value the of k is

A

k =1

B

k =-1

C

k = 0

D

k = 2

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The correct Answer is:
B
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