For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not exist or find lim n→∞ an. (If an answer does not exist, enter DNE.) an =  2n + 3n 30n/2 lim n→∞ an =     The divergence test applies.The divergence test does not apply.

1 lim t/25 +t 5. to

Find the general solution by Variation of Parameters. y''+y=3cscx

Let r = 14. For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr² = n→∞0 B. Take my word for it that it can be shown that Now consider the series Σ n=1 nr. = n=1 nr. iri ² − (n + 1)pn+¹ + r (1-r)² npr+2