Q. 36 A4.5( 2 Votes )

In each of the fo

Answer :

Given:


f(x) is continuous at x = 0 & f(0) = 8


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


f(0) = f(0) + = f(0)


LHL = f(0) =




cos(–x) = cosx


cos2x = 1–2sin2x


1–cos2x = 2sin2x


1–cos2x = 2sin2x






2k2


Since f(x) is continuous at x = 0 & f(0) = 8,then


2 k2 = 8


k2 = 4


k = ±2


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