Prove that
ƒ(x) =
is continuous at x=3
LHL: 
=
=
[By middle term splitting]
= 
= 5
RHL: 
=
=
[By middle term splitting]
= 
= 5
f(3) = 5
Since, 
= f(3)
f is continuous at x=3.
2
Prove that
ƒ(x) =is continuous at x=3
LHL: =
= [By middle term splitting]
=
= 5
RHL: =
= [By middle term splitting]
=
= 5
f(3) = 5
Since, = f(3)
f is continuous at x=3.