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:

3

Step-by-step 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.

Answer 2

Answer: Option b) 3

Step-by-step explanation:

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

Let's do it:

$\lim_{n \to \infty} \frac{9n - 3n}{2n} = \lim_{n \to \infty} \frac{n(9-3)}{2n} = \lim_{n \to \infty} \frac{6}{2} = 3$

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