Show that function ƒ(x) = 
is continuous.
We know that sin x is continuous everywhere
Consider the point x = 0
Left hand limit:
= 1
Right hand limit:
= 1
Also we have,
f(0) = 2
As,
f(0)
Therefore, f(x) is discontinuous at x = 0.
1
Show that function ƒ(x) = is continuous.
We know that sin x is continuous everywhere
Consider the point x = 0
Left hand limit:
= 1
Right hand limit:
= 1
Also we have,
f(0) = 2
As,
f(0)
Therefore, f(x) is discontinuous at x = 0.