What happens if the denominator is 0

Do you want to encourage your kids to be little inventors? Encourage your child to be creative, inventive, and to not give up! You can purchase the pdf ebook on my website , or you can purchase the physical book on Amazon. Check out this book to see if the club is able to solve the problem. Encourage your kids to be problem solvers! You can purchase the ebook of Andre, Kid Aviator here. This is the reverse of b. The numerator increases more rapidly and the outcome gets bigger and bigger tending to infinity.

We say the limit does not exist. In some texts the limit is said to be infinity. In this example the denominator is of a higher power than the numerator and therefore increases more rapidly. The fraction tends to zero so. Is 0 if g x increases more rapidly than f x. This happens if, for example, the power of the denominator, g x , is greater than the power of the numerator, f x.

Example 8 Find. What happens when the numerator and denominator are both polynomials of the same degree? Both increase equally rapidly. If we we divide all through by the highest power of x in this case x 2 we can find the solution. The result is therefore:. Problems with limits of rational functions where the numerator and denominator are polynomials of the same degree can be solved by dividing all through by the highest power of x.

Practise these methods then take test 1 on limits. This new function g x is defined as follows:. In this way we get the continuous graph shown. Show 1 more comment. Active Oldest Votes. Cardboard Box Cardboard Box 4, 21 21 silver badges 42 42 bronze badges. When I asked this question, I didn't know that it was positive both ways. Thank you! Add a comment. Isaac Isaac InterestedGuest InterestedGuest 5, 4 4 gold badges 35 35 silver badges 49 49 bronze badges.

I'm interested to find a way to solve it without plugging in numbers even if it's in your head or graphing it. It makes more sense to me if I can understand how the math works in an absolute sense.

How do I tell if it is positive or negative infinity without graphing it or plugging in numbers? Also, I'm not sure what M stands for.

I'm krista. So something like??? When fractions are undefined. Take the course Want to learn more about Pre-Algebra? I have a step-by-step course for that. Learn More.