Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". Hint: Recall that lim arctan(n) n→∞ 35 + 27 arctan(n) πT = 2° lim n→∞ 2n

A sequence is a function whose domain is ____________.

Alligator Teeth Researchers have developed a mathematical model that can be used to estimate the number of teeth N(t) at time t days of incubation for Alligator mississippiensis, where N(t)=71.8e8.96e0.0685t. Source: Journal of Theoretical Biology. a. Find N(65), the number of teeth of an alligator that hatched after 65 days. b. Find limtN(t) and use this value as an estimate of the number of teeth of newborn alligator. Hint: See Exercise 71. Does this estimate differ significantly from the estimate of part a?

Find limx2x24x2.