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

B. 0

Step-by-step 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

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

2/3

step-by-step explanation: