# Real Analysis: Functions

• October 28th 2010, 05:04 PM
Phyxius117
Real Analysis: Functions
I don't know how to start this proof. Help please!!

http://i10.photobucket.com/albums/a1.../problem66.jpg

Thank you!!
• October 28th 2010, 06:30 PM
Defunkt
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.