Limits
Limit of quadratic over linear:

Limit of quadratic over linear, undefined:
Limit of 2-branch function: , where
Limit of 2-branch function, point offset: , where
Limit of factorable cubic over linear:
Limit of linear over factorable quadratic:
Limit of discontinuous function: , where
 
Limit of 2-branch function, point offset: , where
Limit of the ratio of linears, x->inf:
Limit of the ratio of quadratics, x->inf:
Limit of cubic over linear, x->inf:
Limit of linear over quadratic, x->inf:
Limit of the ratio of cubics, x->inf:
Limit of linear over square root of quadratic, x->inf:

Intercepts, asymptotes:
Intercepts, asymptotes, sketch for linear over linear:
Intercepts, asymptotes, sketch for quadratic over quadratic:
Intercepts, asymptotes, sketch for linear over quadratic:
Intercepts, asymptotes, sketch for cubic over radical:
label the graph of a rational function

L'Hopital's Rule
Quadratic over linear:
ln over quadratic:
Fractional power over x:
Sine function over x:
Exponential function over x:
x over an exponential function:
negative exponential function times a fractional power:
negative exponential function times x2
x to the power x: