Q .     If `f:[-2,2]->R` is defined by

`f(x)=(((sqrt(1+cx)-sqrt(1-cx))/x` for `-2<=x<0),((x+3)/(x+1)`for `0<=x<=2))`

is continuous on `[-2,2]`, then `c=`

EAMCET 2014
A

`2/sqrt3`

B

`3`

C

`3/2`

D

`3/sqrt2`

HINT

Since `f` is continuous at `x=0` `(Lt)_(x->0^+)f(x)=(Lt)_(x->0^-)f(x)=f(0)`

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