For each set of conditions below, give an example of sequences/series that satisfy the conditions (and show that they do), or explain why the sequence/series cannot exist. (a) A sequence {an} that is not monotonic, but converges to the limit 2021. (b) A series > an that can be shown to converge using the Integral Test, but not the Ratio Test. 00 (c) Two different series An and > b, that converge to the same sum, and another series Cn that diverges, n=1 n=1 n=1 such that an Cn < bn for all n.

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