Limits

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

Front

How do you denote the limit of f(x) as x approaches a?

Back

It is denoted as lim (x -> a) f(x).

Front

What does it mean if the limit of f(x) as x approaches a is L?

Back

It means that as x gets closer to a, f(x) gets closer to L.

Front

What is the limit of a constant function?

Back

The limit of a constant function is the constant itself.

Front

What is the limit as x approaches 3 from the left of f(x) = 4?

Back

4

Front

What is the limit as x approaches 0 of f(x) = 1/x?

Back

The limit does not exist (DNE) as it approaches infinity.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where the function approaches infinity or negative infinity.

Front

How do you find vertical asymptotes of a function?

Back

Set the denominator equal to zero and solve for x.

Front

What is the limit of f(x) = 1/x as x approaches infinity?

Back

0

Front

What is the limit of f(x) = x^2 as x approaches 2?

Back

4