Limit of a function

Question

Suppose that  𝑓:ℝ→ℝ  is a continuous function, satisfying  𝑓(5)=8

What is the value of the limit  lim𝑥→5𝑓(𝑥) ?

Group of answer choices

1. 5
2. 8
3. 0
4. 13
5. The limit does not exist.

Answer 1

Since the function is continuous, then the limit and the function value MUST be the same. The function value when x = 5 is 8 (because f(5) = 8) so the limit, as "x" approaches 5, MUST be 8.