13-4

13-4
Last week we were taught sections from Chapter 13. In 13-4, we were taught how to figure out what an equation’s limit by three simple rules.
1. If degrees top = degrees bottom, answer is coefficient.
2. If degrees top > degrees bottom, answer is +/- infinity.
3. If degrees top < degrees bottom, answer is 0.
*If none of these rules apply, use your calculator and figure out what it is approaching.

EXAMPLE 1: limit: n – infinity.. n^2-1/n^2
A). According to the rules, n^2 is = to n^2.
B). Therefore, take the number in front of n, which is 1 – 1/1
C). Your answer is 1.

EXAMPLE 2: limit: n – infinity.. 2n^3/ 2n^2
A). According to the rules, n^3 is > n^2
B). Therefore your answer is + infinity.

EXAMPLE 3: limit n – infinity.. log[sin(1/n)]
A). Since none of the rules apply to this problem, plug it into your calculator in the table.
B). Your answer is 0.

When plugging into your calculator, look at the table and see what the number is approaching. For instance, if it’s .01, … , .001, …, .0001 then your answer would be 0.