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 fat 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.
