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!

Find the period of the function

  1. May 5, 2013 #1

    utkarshakash

    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data
    f(x)=e3(x-[x])
    [] denotes greatest integer function

    2. Relevant equations

    3. The attempt at a solution
    f(x)=f(x+T)

    e3{x}=e{x+T}
    Taking ln of both sides
    3{x}=3{x+T}
    {x}={x+T}

    x-[x]=x+T-[x+T]
    T=[x+T]-[x]
     
  2. jcsd
  3. May 5, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Now you have to find T which satisfy this equation.
    Alternatively, graph x-[x], the period is obvious in the graph.
     
  4. May 6, 2013 #3

    utkarshakash

    User Avatar
    Gold Member

    T=[x]+t-[x]
    0=0

    How to find T?
    Also why you are asking me to draw the graph of x-[x] when the question says e raised to x-[x]?
     
  5. May 6, 2013 #4
    Give it a try at least. ;)

    You see that x-[x] which is equivalent to fractional part of x repeats itself after 1. The period of e^(x-[x]) is obvious.
     
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: Find the period of the function
  1. Find period of function (Replies: 11)

  2. Periodicity of function (Replies: 18)

Loading...