Question

Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2

, or state that the limit does not exist.
a.1
b.0
c. 3
d. limit does not exist

Please select the best answer from the choices provided

* it’s not D

Answer 1

B. 0

Explanation:

Given the expression

Un = 5n + (-1)ⁿ/n²

Limit of the sequence is taken by tending the value of n to infinity

Note that lim (aⁿ) as n tends to infinity is zero for values of a<1

Find the remaining solution in the attachment.

Limit of the sequence 5n + (-1)ⁿ/n² as n tends to infinity is 0