Reading a Limit Off a Graph, Mark by Mark

You'll learnto trace a graph in from each side and read the height it is heading for, to tell an open circle from a solid dot, and to spot the two ways a graph can have no limit at all.

A graph answers a limit question faster than algebra does, if you ask it the right way. Put a finger on the curve to the left of the target and slide in, then do the same from the right, and never look at the mark on the target itself. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · TRACE BOTH SIDES, THEN COMPARE · v2

trace in from each side, compare the heights, never read the mark

Before you start

What you're looking at

One graph on a unit grid, with a target marked on the horizontal axis at x = 2.

The question

What height is the curve heading for as you slide in toward the target from each side, and do the two sides agree?

Step 1 / 12