Part 1: Evaluating a series ={} 2 Consider the sequence {an} I n² + 2n J a. The limit of this sequence is lim an = b. The sum of all terms in this sequence is defined as the the limit of the partial sums, which means An lim n 0 n=1 -infinity Enter infinity or -infinity if the limit diverges to ∞ or -00; otherwise, enter DNE if the limit does not exist. Part 2: Evaluating another series

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A: To prove that the relation between the limits of the two given sequences

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Q: Find the generating function for the finite sequence 2, 2,2, 2, 2, 2.

A: Step 1: Consider the provided question, Given, the finite sequence 2, 2, 2, 2, 2, 2.

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A: As you asked multiple sub parts so I answered 1st three subpart.