What a Limit Says, and What It Refuses to Say

You'll learnto read a limit as a claim about the inputs near a point and never the point itself, to take the two sides separately, and to say a limit does not exist without inventing a value for it.

A curve has a hole in it, and two dots walk in toward the hole from either side. Where are they heading, and does it matter what the function does at the hole itself? Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · BOTH SIDES MUST EXIST AND AGREE · v2

the outputs near a, never the output at a · both sides must agree

Before you start

What you're looking at

One graph with a hole in it at x = 2. Two dots walk in along the curve toward the hole, one from each side.

The question

Where are the outputs heading as the inputs close in on 2, and does the point itself get a say?

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