Sunday, April 15, 2012

Infinite Limits!

Hello,
I hope everyone had a great day and a wonderful week off of school!
Now it's back to reality tomorrow.. haha

**If you have a fraction with two polynomials divided, use the rules:
1. If the degree of the top is equal to the degree of the bottom, then you use the leading coeff over the leading coeff.
2. If the degree of the top is greater than the degree of the bottom, then you use +/- infinity (plug in to see if you get positive or negative)
3. If the degree of the top is less than the degree of the bottom, then it is equal to zero.

**If it doesn't follow the rules,
1. Plug into y=
2. Use the 2nd funtion, then table on your calculator.
3. Plug in

(In the table, if e is positive, then it is equal to zero. If e is negative, then it is equal to infinity.)

Until you see a pattern.

**If it is a geometric(a number raised to n) and the absolute value of r <1, then limit=0
If it is greater than 1, then it is infinity.

Example 1:
Find the given limit.
lim n+5/n
=1

lim [1+(-1)^n/n]
=1

lim 3n^2+5n/8n^2
=3/8

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