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
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
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number