1. Prove the following, using the appropriate definition. (f ) lim OO T-00 0 - 1 4. Consider a function S : (a, co) R
1. Prove the following, using the appropriate definition. (f ) lim OO T-00 0 - 1 4. Consider a function S : (a, co) R such that f(a) > 0 for all a > a. Prove that 1 lim f(x) = 0 if and only if lim -+00 f (x) = 00
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