Students often struggle to understand the formal definition of a limit. This activity sheet has the students build both tables and graphs to see what the definition is saying. In the tabular form, the students keep refining the table to be convinced that as long as they stay very close to a value of a on the x-axis all y values will stay in a close range of a particular number called a limit. The same idea is explored graphically by trying to keep all y values visible when given a particular window of x values. Eight additional problems are given to the students to explore.