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Series and domains

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See attached.

Find the limit of each sequence that converges; if the sequence diverges, explain why.
Determine whether the given infinite series converges or diverges.
Find the value of the given expression.
Let D1 and D2 be domains with a nonempty intersection. Show that D1UD2 is a domain.

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Solution Summary

This provides examples of working with convergent and divergent series, as well as a proof regarding domains.

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