13-4

today im going to teach you how to do infinite limits. this is a review because i taught this before and we went over it. some key notes to know is that if:
1) (degree)top=(degree)bottom then limit = lead coeff / leading coeff.
2) (degree)top > (degree)bottom then limit = +/- (infinity)
3) (degree)top < (degree)bottom then limit = 0
* if it doesn't follow rules then yoy plug into y= in calculator, 2nd table, plug in 10|100|1000|10000
until you see a pattern*
4) E +ve # = + or - inf
    E -ve # = 0
*if it is geometric & |R| < 1 then limit = 0. if |R| > 1 the limit = (infinity)

EX's:
1) lim/ n (infinity)   n^3 + 2n^2 + 6 / n^2 - 4n^3
so (degree)top = (degree)bottom = -1/4

2) lim/ n (infinity)  n^3 + 2n^2 + 6 / n^2
 so (degree)top > (degree)bottom = +(infinity)

3) lim/ n (infinity)  5n - 5 / n^2
so (degree)top < (degree)bottom = 0