Show that the function defined by f(x) = sin 1/x is a continuous function.

Asked by Anagha Plus two | 22nd Feb, 2012, 09:47: PM

Expert Answer:

Let g(x) = sin x and h(x) = 1/x
Then goh(x) = g(h(x)) = g(1/x) = sin(1/x) = f(x)
so, goh = f
Siince, g(x) and h(x) both are continuous so goh(x) is also continous.

Answered by  | 23rd Feb, 2012, 09:39: AM

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