Discuss the continuity of f(x) at x=c:
(2x + 5 if XS2
(i) f(x) =
2'
4x+1 if x>2°C = 2
Answers
Answered by
0
Answer:
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
(kx
2
)=
x→2
lim
(3)=4k
⇒k⋅2
2
=3=4k
⇒4k=3=4k
⇒4k=3
⇒k=
4
3
Therefore, the required value of k is
4
3
.
Similar questions