1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finding the limit of a sequence a quotient of two power functions

  1. Mar 25, 2013 #1
    1. The problem statement, all variables and given/known data
    lim x-> infinity 3n+2/5n
     
  2. jcsd
  3. Mar 25, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    I think you missed part 3 of the homework template: What did you do so far?
    There is a nice way to simplify the expression.
     
  4. Mar 25, 2013 #3
    can it be simplified to 5^n-2 (3/5)^n+2
     
  5. Mar 25, 2013 #4

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    If you add some brackets, right. There is an easier way to write it, but this one is fine as well.
    You should be able to see the limit of that expression.
     
  6. Mar 25, 2013 #5
    1/3^2 * (3/5)^n. the geometric series will be convergent since |r|=3/5<1?
     
  7. Mar 25, 2013 #6

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    3^2, not 1/3^2

    Right.
     
  8. Mar 25, 2013 #7

    jbunniii

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It's not a geometric series, is it? The problem statement indicates a sequence, not a series. The conclusion is correct, though: ##(3/5)^n \rightarrow 0## because ##|3/5| < 1##. (Do you know how to prove that?)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Finding the limit of a sequence a quotient of two power functions
Loading...