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If f(x)= {{:((sqrt(1+lambdax)- sqrt(1 ...

`If f(x)= {{:((sqrt(1+lambdax)- sqrt(1 - lambdax))/(x) "," -1 le x lt 0 ),((2x + 1)/(x - 2) ", " - 0le x lt 1):}` is
continuous at x = 0 then `lambda = ? `

A

-1

B

1

C

`-(1)/(2)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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