Show that function ƒ(x) = 
is continuous.
Given:
ƒ(x) = 
Left hand limit at x = 0
sin(0) = 0
Therefore,
0
Right hand limit at x = 0
0
Therefore,
0
Also, f(0) = 0
As,
f (0) = 0
Thus, we can say that f(x) is continuous function.
1
Show that function ƒ(x) = is continuous.
Given:
ƒ(x) =
Left hand limit at x = 0
sin(0) = 0
Therefore,
0
Right hand limit at x = 0
0
Therefore,
0
Also, f(0) = 0
As,
f (0) = 0
Thus, we can say that f(x) is continuous function.