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Learn AP and College Calculus Limits

Continuity

You can draw it without lifting your pencil.

AP and College Calculus: Limits

$f (a)$ exists.
The limit at $a$ exists.
They're equal.

Work through it

$f (x) = \frac{x ^{2} - 1}{x - 1}$ at $x = 1$

The limit is 2, but $f (1)$ is undefined.

It isn't continuous at $x = 1$ .

Watch out for this

Polynomials can jump.

Polynomials are continuous everywhere.

Your turn

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