Limits at Infinity
Limits approaching infinity are a whole different story, because , as you can tell, you can't substitute infinity in an equation, because it goes on forever. So what do we do?
One of the methods you already know... make an x and y chart! Insert numbers that increase dramatically, approaching infinity.
One of the methods you already know... make an x and y chart! Insert numbers that increase dramatically, approaching infinity.
If you substitute large numbers, that are closer to infinity, you can see that it tends towards 0 (in the case of this problem).
The other method to solve problems at infinity is to follow 3 rules:
1. If the exponent is higher in the numerator, the limit is positive or negative infinity
2. If the exponents are the same in the numerator and denominator, divide by the coefficient
3. If the exponent is higher in the denominator, then the limit is 0
NOTE: You have to evaluate the HIGHEST exponents
1. If the exponent is higher in the numerator, the limit is positive or negative infinity
2. If the exponents are the same in the numerator and denominator, divide by the coefficient
3. If the exponent is higher in the denominator, then the limit is 0
NOTE: You have to evaluate the HIGHEST exponents