Q36 of 155 Page 9

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

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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