Q27 of 147 Page 159

Find the values of k so that the function f is continuous at the indicated point in Exercises 26 to 29.

It is given that

Also, it is given that function f is continuous at x = 2,


So, if f is defined at x = 2 and if the value of the f at x = 2 equals the limit of f at x = 2.


We can see that f is defined at x = 2 and


f(2) = k(2)2 = 4k



⇒


⇒ k × 22 = 3 = 4k


⇒ 4k = 3 = 4k


⇒ 4k = 3


⇒ k =


Therefore, the required value of k is .


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