#### Question

Find the values of *k *so that the function *f* is continuous at the indicated point.

`f(x) = {(kx^2, "," if x<= 2),(3, "," if x > 2):} " at x" = 2`

#### Solution

The given function is `f(x) = {(kx^2, "," if x<= 2),(3, "," if x > 2):} `

The given function *f* is continuous at *x* = 2, if *f* is defined at *x* = 2 and if the value of *f*at *x* = 2 equals the limit of *f* at* x* = 2

It is evident that *f *is defined at* x* = 2 and `f(2) = k(2)^2 = 4k`

Therefore, the required value of `k= 3/4`

Is there an error in this question or solution?

Solution Find the Values Of K So that the Function F Is Continuous at the Indicated Point.F(X) = {(Kxsqrt2, If X<= 2),(3,If X > 2) at X = 2 Concept: Algebra of Continuous Functions.