Find the limit described, if it exists. The limit of 𝑓(𝑥)=3 as x approaches 2.

Question

Options:

1. 6
2. limit does not exist
3. 3
4. 2

Answer 1

The function is constant: f(x) =3. So, for all point it has the same limit 3!

Answer 2

3

if f(x)=3 and x approaches 2

Graphically f(x)=3 would be a straight horizontal line through 3. It has a y-intercept of 3.

so any real number approaching on f(x)=3 is 3.