Question

Evaluate the limit, or state that the limit does not exist. 9n - 3n / 2n

a.9
b. 3
c. limit does not exist
d. 0

Answer 1

Answer: Option b) 3

Explanation:

We want to take the limit of the equation: (9n - 3n)/2n

Let's do it:

`\lim_(n \to \infty) (9n - 3n)/(2n) = \lim_(n \to \infty) (n(9-3))/(2n) = \lim_(n \to \infty) (6)/(2) = 3`

Really does not matter where we are looking for the limit, because this is a constant equation, so we have that the correct option is b) 3

Answer 2

3

Explanation:

Evaluating the limit of the function 9n - 3n / 2n.

First we factor out n from the numerator of the function to have

F(n) = n(9-3)/2n

Cancelling the variable n at the numerator with the one at the denominator we have:

Iim f(n) = 9-3/2

Iim f(n) = 6/2

Lim f(n) = 3

This shows that the limit of the function given is 3 no matter what the variable x is tending to.