Answer :

Given:


f(x) is continuous at x = 0


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


RHL = f(0) =





cos(0) = 1


f(0) +


LHL = f(0) =






k×0


0


Hence, the value of k = 0.


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