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For what value of k, the function f(x)={...

For what value of k, the function `f(x)={((sqrt(1+kx)-sqrt(1-kx))/x,"if -1"lexlt0),((2x+1)/(x-2),"if 0"lexle1):}` is continuous at x=0

A

`1/2`

B

1

C

`-3/2`

D

`-1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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