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15) The Monotone Convergence Theorem Revisited [8 Marks, 4 for each part] 3.) Modify the proof we gave of the MCT for increasing sequences to
15) The Monotone Convergence Theorem Revisited [8 Marks, 4 for each part] 3.) Modify the proof we gave of the MCT for increasing sequences to prove the following: If {an} is a nonincreasing sequence that is bounded below, then {an} converges and lim on = glbcan}. H\" b) Use the Monotone Convergence Theorem to prove the Comparison Theorem for Mono- tonic Sequences: Assume that {an} and {bn} are nondecreasing sequences with an
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