Question: Can anyone help me with this question? a) [4 marks] Modify the proof of the MCT for increasing sequences from the course lecture to prove

Can anyone help me with this question?

a) [4 marks] Modify the proof of the MCT for increasing sequences from the course lecture to prove the following: If {an} is a decreasing sequence that is bounded below, then {an} converges and li_rn an 2 glb({a.n}). b) [4 marks] Use the Monotone Convergence Theorem to prove the Comparison Theorem for Monotonic Sequences: Assume that {an} and {bu} are increasing sequences with an 00

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