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Let f(x) = {{:((sqrt(1+ax)-sqrt(1-ax))/(...

Let `f(x) = {{:((sqrt(1+ax)-sqrt(1-ax))/(x),,-1 le x lt 0),((2x + 1)/(x-2),,0 le x le 1):}` is continuous in [-1, 1]. Then `a` equals :

A

-1

B

1

C

`(1)/(2)`

D

`- (1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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