Find the values ook so that funeion is
Continuous at x=0
f(3) =
I-coska if xfo
if x=0
3 도
Answers
Answered by
2
Step-by-step explanation:
The given function is f(x)={
kx
2
,ifx≤2
3,ifx>2
The given function f is continuous at x=2
x→2
lim
f(x)=
x→2
lim
f(x)=f(2)
⇒
x→2
lim
(kx2 )=
x→2lim
(3)=4k
⇒k⋅2 2
=3=4k
⇒4k=3=4k
⇒4k=3
⇒k=
4
3
Similar questions