Question

For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence converges as n -------> [infinity].

A. 5/n + n/5
B. 5^-n
C. Sin n/5n
D. 5n + 5/n

Answer 1

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

B. 5^-n. -----------converges

C. Sin n/5n------ converges

D. 5n + 5/n ------diverges

Explanation: