First Holiday Reflection

Limits Review :

lim
x->infinity

1. Degree at top = degree bottom lim is the coefficient.
2. Degree top > degree bottom lim is infinity or -infinity.
3. Degree top < degree bottom lim is 0.

lim
x->infinity 1/x = 0

Derivatives Review :

* When a question or the directions say to find: y', f'(x), dy/dx, d/dx, Dx[y], slope of a tangent line, or slope of the curve at a point it is telling you to find the derivative.

m = f(c+*x)-f(c)/*x

Example:

f(x + h) − f(x)/h = 2(x + h) − 5 − (2x − 5)/h

= 2x + 2h − 5 − 2x + 5/h

= 2h/h

= 2