Limits

vertical asymptote will exist:

at the restricted values of the SIMPLIFIED form

horizontal symptotes will exist

if the degree of h(x) is greater than or equal to the degree of g(x)

if the top and bottom degrees are equal, the HA is

y = leading coefficient/leading coefficient

if the bottom degree is greater than the top degree, the HA is

y = 0

if the top degree is ONE DEGREE greater than bottom degree, what kind of asymptote does this make?

slant asymptote

residual

remainder of slant asymptote/divisor

you can ONLY multiply both sides by a variable if you:

have stated the restricted values of the variable

0 + epsilon =

epsilon

two sided limits

if when approaching an x value on the right and left side yield the same y-value, if not, it DNE

taking limits for VA, use ____________ form

factored

taking limits for HA, use _______________ form

standard