Limits

-If it does not follow the rules

1. Type the equation into y= in calculator

2. Hit 2nd table

3. Type in numbers 10, 100, 1000, 10000. Do more numbers if needed to see what number the equation is approaching.

**Make sure your calculator is in ask**

-If it is geometric (has #^n)

1. If r <1 = 0

2. If r >1= + or - infinity

Examples: Find the limit of

A: (x^3+x+10)/(x^5+8)

The bottom degree is bigger so it will eventually go to zero to 0.

The limit = 0.

B: (2)^n

It’s geometric and r > 1 so the limit is infinity.

C. (x+20)/(x-20)

Follows polynomial rules, degrees are equal. Coefficents are 1 and 1, so the limit is 1/1 = 1.

D. (x^9)/(x)

Top exponent is larger so the limit is infinity. It is positive infinity because when you plug a number in, it comes out positive.