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

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

Thank you!!

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- Oct 28th 2010, 05:04 PMPhyxius117Real Analysis: Functions
I don't know how to start this proof. Help please!!

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

Thank you!! - Oct 28th 2010, 06:30 PMDefunkt
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.