VisualizationsCalculus & Optimization

Limits & Continuity

Slide to move two dots toward x = 2 from both sides of a curve. Both close in on the same height, 4, and that height is the limit.

Where is the curve heading at x = 2?

Move closergap 1

Coming from the left

x = 1.000

f(x) = 1.000

distance from 4: 3.000

Coming from the right

x = 3.000

f(x) = 9.000

distance from 4: 5.000

Both dots close in on the same height, 4. That height is the limit. A limit asks where the curve is heading, not what sits at the point itself.

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