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`
Advertisement Remove all ads
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`
Concept: Algebra of Continuous Functions
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads