Problem:
Explore the limit

Visualization:
Using javascript, the first table below explores the right-hand limit at x = 5 in which x approaches 5 from the right-hand side. The second table explores the left-hand limit at x = 5 in which x approaches 5 from the left-hand side.

We see that the right hand limit appears to be 3 and the left hand limit appears to be -3. In this case, when the right hand limit does not equal the left hand limit, then the limit

does not exist.

We have chosen x to be 5 plus some power of 1/10 in the left table and have chosen x to be 5 minus some power of 1/10 in the right table. N indicates this power.