Sunday, March 11, 2012

Know Your Limits

Infinite limits are what a certain equation is approaching. If you keep plugging in bigger numbers into the equation it will either go on forever or hit a dead end at a certain number.


*If you have a fraction with 2 polynomials divided use the these rules: (Refers to exponents)


1. Degree of top = degree of bottom leading coefficient/leading coefficient


2. Degree of top > degree of bottom + or - infinity (plug into equation to see if + or -)


3. Degree of top < degree of bottom 0



*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.



*If it is geometric (has #^n)


1. If r <1 = 0


2. If r >1= + or - infinity



Examples: Find the limit of


A: (x+1)/x


The exponents are equal so 1/1= 1


The limit is 1



B: (.88) ^n


It’s geometric and r < 1 so the limit is 0

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