Find the limit or state that the limit does not exist for 3sub n +2 / n

Choices
a)=0
b)does not exist
c)=3
d)=2

I believe the answer is either 3 or 2 but I can't decide which.

what is 3 sub n?

sub n means subscript

In this context, "3 sub n" refers to a sequence of numbers where each number is represented by the subscript "n". For example, the first number in the sequence would be denoted as "3 sub 1", the second number as "3 sub 2", and so on.

To find the limit of the sequence (3 sub n + 2) / n as n approaches infinity, we can use the concept of the limit of a sequence.

To find the limit, we need to evaluate the expression as n gets larger and larger. Let's substitute some values for n to get a better understanding:

For n = 1: (3 sub 1 + 2) / 1 = (3 + 2)/1 = 5/1 = 5
For n = 2: (3 sub 2 + 2) / 2 = (3 sub 2 is not defined)

As we can see, the sequence does not have a defined term for n = 2, which means it is undefined at that point. This indicates that the limit of the sequence does not exist.

Therefore, the correct answer is b) does not exist.