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 = 2.

Given:


f(x) is continuous at x = 2 & f(2) = k


If f(x) to be continuous at x = 2,then,f(2)– = f(2) + = f(2) LHL = f(2)– =




(a–b)3 = a3–b3–3a2b + 3ab2


(a–b)2 = a2–2ab + b2








7


Since ,f(x) is continuous at x = 2 & f(2) = k


k = 7


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