Hm...I'm so rusty with the undergrad real analysis . Guess I'll get to review it in the first 3 weeks of next semester in the actual grad real analysis.
So, here's a math question for anyone with knowledge of complex analysis - does there exist a non-constant function that is harmonic on the complex plane and is 0 everywhere on the real and imaginary axis?
Oh and math problems are very easy to find - one can search for any AMC, AIME, USAMO, and IMO problems and post them here. There is a good chance I will be able to answer them.