This should be of some help.
http://www.mathhelpforum.com/math-he...ta-proofs.html
it is continuous because f(0) = 0. However, I'm not clear how to find such delta. We have to find a positive delta such that |f(x) - f(0)| < epsilon = |x sin(x) | < epsilon when |x sin x| < delta.
How to find such delta? Does delta = epsilon? I'm not clear
This should be of some help.
http://www.mathhelpforum.com/math-he...ta-proofs.html