Question

Use the graph to find limx→3 f (x).

Answer 1

Does Not Exist (DNE)

Explanation:

You want the limit of f(x) = 1/(x-3) as x approaches 3.

Limit

The limit at a point exists if and only if the left limit at that point is equal to the right limit at that point.

F(x) = 1/(x -3) changes sign at x = 3, so the left limit and right limit have opposite signs. The limit at x = 3 does not exist.