# Math Help - Real Analysis: Functions

1. ## Real Analysis: Functions

I don't know how to start this proof. Help please!!

Thank you!!

2. Let $\epsilon > 0$ and take $\delta>0$ such that $|x-c| < \delta \Rightarrow |g(x)-0| < \epsilon$

Try to estimate $|f(x)g(x) - 0|$ using what I've given you and using the fact that f is bounded on A.