Tuesday, June 30, 2015

Advanced Math Solutions – Limits Calculator, Rational Functions

In the previous post, we learned how to find the limit of a function with a square root in it. Today we will be dealing with rational functions, which are handled differently than the function in the previous posts because rational functions follow a set of rules. A rational function is a function with a ratio of two polynomials, F(x)=\frac{P(x)}{Q(x)}.

Here are the rules:
  1. If the degree of P(x) is less than the degree of Q(x), then the limit is 0.
  2. If the degree of P(x) and Q(x) are the same, then divide the coefficients of the terms with the largest exponent to get the limit.
  3. If the degree of P(x) is greater than the degree of Q(x), then the limit is either \infty or -\infty depending on the signs of polynomials. If both the coefficients of the largest exponent are either negative or both positive, then the limit is \infty. Otherwise, the limit is -\infty.

Here is an example of Rule 1 (click here):



Here is an example of Rule 2 (click here):



Here is an example of Rule 3 (click here):



Rational functions are easy to solve as long as you remember those three rules. Next post, we will talk about L’Hopital’s rule.

Until next time,
Leah

10 comments:

  1. Thank you for another essential article. I have learned a lot from your article.I like mathematic. Thank so much, again.

    write my essay

    ReplyDelete
  2. This comment has been removed by the author.

    ReplyDelete
  3. You will find some info here about how to write reflective paper. Maybe this kind of info could save you from some troubles in the future

    ReplyDelete
  4. Just a little confusion why we apply infinite properties, other than that, understands the whole part. Thanks for solving it in a simpler and wiser way.
    Luton airport cheap parking

    ReplyDelete
  5. i always find it difficult to understand limits. but you explain very well.

    Heathrow meet and greet airport parking

    ReplyDelete
  6. I just found my relevant industry blog of mass texting but suddenly i watch your blog and i have to read these article and you have to give best and good opportunity for peoples help i really inspire to see these all! thank you so much keep working and more sharing new updates i really like your work!

    ReplyDelete
  7. Studies have highlighted the benefits of cuddling. Ranging from a variety of health problems and mood disorders, it not only helps us feel relaxed but also establishes a bond with the person you choose to cuddle with.

    Here are 10 scientific benefits for cuddling! https://www.thenewsgeeks.com/10-benefits-of-cuddling/

    ReplyDelete