Part 1: Evaluating a series - {} 2 Consider the sequence {an} I n2 + 2n S 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...

Extracted text: Part 1: Evaluating a series - {} 2 Consider the sequence {an} I n2 + 2n S 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 o∞ or -00; otherwise, enter DNE if the limit does not exist. Part 2: Evaluating another series

Cn n=1 may or may hot v converge. Hint: look back at parts 1 and 2. 8. "/>
Extracted text: Part 2: Evaluating another series {m (")} Consider the sequence {bn} n + 1 In a. The limit of this sequence is lim b, = b. The sum of all terms in this sequence is defined as the the limit of the partial sums, which means bn lim n=1 ). infinity Enter infinity or -infinity if the limit diverges to ∞ or -00; otherwise, enter DNE if the limit does not exist. Part 3: Developing conceptual understanding Suppose {Cn} is a sequence. a. If lim Cn = 0, then the series > Cn n=1 may or may hot v converge. Hint: look back at parts 1 and 2. 8.