Question: f(3) (5 marks) Let fn(x) = n By appealing to Corollary 4.26, Theorem 4.24, and the Archimedean Principle, prove (fn(x)) converges pointwise to f(x) =

 \f(3) (5 marks) Let fn(x) = n By appealing to Corollary4.26, Theorem 4.24, and the Archimedean Principle, prove (fn(x)) converges pointwise tof(x) = 0 on the domain [0, 1].Theorem 4.24. Let A C

R be non-empty and bounded above and let y E R bean upper bound of A in R. We have sup A =y if and only if for every c E R with e

\f(3) (5 marks) Let fn(x) = n By appealing to Corollary 4.26, Theorem 4.24, and the Archimedean Principle, prove (fn(x)) converges pointwise to f(x) = 0 on the domain [0, 1].Theorem 4.24. Let A C R be non-empty and bounded above and let y E R be an upper bound of A in R. We have sup A = y if and only if for every c E R with e > 0 there is an element of A greater than y - E

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