Q2 of 48 Page 358

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.


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