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accumulation point ANSWERS TO PRACTICE apply axiom of choice bijective called compact conclude continuous function contradiction contrapositive converges uniformly countable DEFINITION Let denote derivative differentiable diverges domain element equivalence class equivalence relation EXAMPLE Let Exercise F F F F T F finite following theorem formula function g give a counterexample given Hence hypothesis implies induction inequality injective integrable interval of convergence inverse Let f(x lim inf lim sup logical mathematical mean value theorem natural numbers negation nonempty notation obtain open sets ordered field ordered pairs partial sums partition polynomial positive integers positive number power series PRACTICE PROBLEMS prime numbers properties Prove or give quantified radius of convergence rational number real numbers Section series converges subsequential limits subset surjective tautology THEOREM Let truth table uniform convergence uniformly continuous upper bound write xRy iff