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 .