If is continuous at x = 0, find k.

Given:


f(x) is continuous at x = 0 & f(0) =


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


LHL = f(0) =




cos(–x) = cosx














f(0)


Since ,f(x) is continuous at x = 0 & f(0) =



k2 = 1


k =


27