The Ring and the Disc, in the Same Place

You'll learnthe three checks that make a function continuous at a point, how each one can fail on its own, and how to solve for a constant that makes a join continuous.

A hollow ring marks where the curve is heading; a solid disc marks what the function actually is at the point. Continuity is the name for the case where the two land in the same place. Each beat removes one of the three requirements and shows what the picture looks like without it. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · A VALUE · A LIMIT · AND THEY MUST AGREE · v2

a value at the point, a limit at the point, and the two of them equal

Before you start

What you're looking at

One graph with a marked input. A hollow ring sits at the height the outputs approach, and a solid disc at the height the function actually takes there.

The question

Are both objects there, and are they in the same place?

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