`f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1` is continuous in the interval `[-1,1],` then `p` is equal to `-1` (b) `-1/2` (c) `1/2` (d) 1

Explanation

Given,

`(x)={(sqrt(1+p x)-sqrt(1-p x))/x `


Since, f(x) is continuous in `[−1,1]`, so f(x) is continuous at `x=0`


Now, `f(0)=−1/2​ `


`LHL=lim_(x→0−)​f(x)`
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