Level 513
Level 515

#### 9 words 0 ignored

Ready to learn
Ready to review

## Ignore words

Check the boxes below to ignore/unignore words, then click save at the bottom. Ignored words will never appear in any learning session.

**Ignore?**

Continuous

is a quantitative variable that has a continuum of infinitely many possible values

Definition of Continuity

At a point:

Discontinuity

Not continuous at x=c

Existence of a Limit

Let f be a function and let c and L be real numbers. The limit of f(x) as x appoaches c is L if and only if lim f(x) = L

Continuity on a Closed Interval

A function f is continuous on the closed interval [a,b] if it is continuous on open interval (a,b) and lim f(x) = f(a)

Properties of Continuity

If b is a real number and f and g are continuous at x = c, then the following functions are also continuous at c.

Intermediate Value Theorem

If f(a) > 0 and f(b) < 0 then there is a real zero between a and b

vertical asymptote

comes from a factor in the denominator that doesnt cancel out

Properties of infinite Limits

Let c and L be real numbers and let f and g be functions such that