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1. |X| = {x if x >= 0 and -x if x <0

lim x->a |X| Does not exists.

My first question is can the limit of an absolute value function ever exists? I understand the mechanics, just not the concept :(.

2. The Squeeze Theorem

If f(X) <= h(X) <= h(x) when x is near a (except possibly at a) and

lim x->a f(X) = lim x->A h(X) = L

then

lim x->a g(X) = L

Question: Prove that lim x->0+ suareroot(X)[1 + sin^2(2PI/X)] = 0.

Sorry for my semi-broken representation. It's a mixture of C++ sytanx and algebra... I don't think it works so well but I hope it can be understood. Anyway, I don't even know where to begin setting up the proof...

Anyone have an tips that might help? I'm going to search the net and try and find something that can help.

Shwank