Limits and Continuity

The term with the lowest degree in a function.

The term that approaches zero as x approaches infinity.

The term that appears first in a function.

The term with the highest degree in a function.

There must be a vertical asymptote at $x=L$.

The function has no horizontal asymptote.

There may be a horizontal asymptote at $y=L$.

There may be an oblique asymptote at $y=L$.

The maximum value of g(x).

The vertical asymptote at x=2.

The horizontal asymptote at y=0.

The y-intercept of the graph.

The degrees of polynomials in numerator and denominator.

The sign difference between coefficients in numerator versus denominator.

The values of constants m and n only.

Whether or not b equals zero.

+infinity

-infinity

2

100

The limit does not exist because polynomials increase or decrease without bound

The limit equals DNE

The limit equals 0

The limit equals +infinity

A vertical asymptote at x=-$\frac{4}{7}$

A horizontal asymptote at y=$\frac{1}{5}$

No horizontal or vertical asymptotes exist for this function as x becomes very negative

A horizontal asymptote at y=-$\frac{4}{7}$

Always

Only if the power is odd.

Never

Only if the power is even.

$y = 3$

$y = 0$

$y = \frac{3}{-4}$

$y = \infty$

$\lim_{x \to \infty} f(x) = 3$

The slope of the tangent line to the graph of $f(x)$ is always three

$\lim_{x \to -\infty} f(x) = 3$

$f'(x)$ approaches zero as $x$ approaches infinity