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If : [ -2 ,2 ] to R is defined by ...

If ` : [ -2 ,2 ] to R ` is defined by
`f(x) = {: { ((sqrt(1+cx) -sqrt(1-cx))/x , " for" -2 le x lt 0), ((x+3)/(x +1) , " for " 0 le x le 2):}`
continuous on [ -2, 2] then c is equal to

A

`2/sqrt3`

B

3

C

`3/2`

D

`3/sqrt(2)`

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Verified by Experts

The correct Answer is:
B
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