13-4

I hope everyone had a great Thanksgiving holidays. But now that we have school tomorrow it is time to get your mind focus to school again. Section 13-4 is basically the rules for fractions and how to apply it.
Rule for fractions are:
-If top degree = bottom degree; answer is coeff
-If top degree > bottom degree; answer is +/- infinity
-If top degree < bottom degree; answer is 0

If rules don’t apply you use a table and figure out what it is approaching.


Lim
n->infinity r^n=0 iff absolute value r<1


Examples:

Lim n->infinity(.99)^n=0
absolute value .99^n<1
.366,..,.0004,.000….2=0 is your answer


lim n->infinity n^2+1/2n^2-3n=1/2

lim n->infinity sim(1/n)=0

lim n->infinity 5n^2+square root n/3n^3+7=0

lim n->infinity 7n^3/4n^2-5=infinity


Basically section 13-4 is really easy and common sense. If you know your rules and know how to apply them and use them you will not get any trouble at all in section 13-4 and this section should be a piece of cake for you.