I don't know how to start this proof. Help please!!
Thank you!!
Let $\displaystyle \epsilon > 0$ and take $\displaystyle \delta>0$ such that $\displaystyle |x-c| < \delta \Rightarrow |g(x)-0| < \epsilon$
Try to estimate $\displaystyle |f(x)g(x) - 0|$ using what I've given you and using the fact that f is bounded on A.