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} = a^{3}–b^{3}–3a^{2}b + 3ab^{2}

(a–b)^{2} = a^{2}–2ab + b^{2}

7

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

k = 7

36