Q. 63.8( 4 Votes )

Show that function ƒ(x) = is continuous.

Answer :

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.


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