Answer :

Given:


f(x) is continuous at x = 0


If f(x) to be continuous at x = 0,then,f(0) = f(0) + = f(0)


LHL = f(0) =





k(0 + 2)


2k ...(1)


RHL = f(0) + =




1 ...(2)


Since, f(x) is continuous at x = 0,From (1) & (2),we get,


2k = 1


k =


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