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!

Draw a graph of xcos(1/x)

  1. May 8, 2014 #1
    1. The problem statement, all variables and given/known data
    Draw a graph of xcos(1/x)


    2. The attempt at a solution

    I've differentiated the equation using the product rule.

    This got me to:

    cos(1/x) + sin(1/x)/x

    What I don't know how to do is actually go about drawing the graph. This is also a past paper question for an exam where I won't be allowed calculators.

    Thanks!
     
  2. jcsd
  3. May 8, 2014 #2

    pasmith

    User Avatar
    Homework Helper

    Calculators won't help you with that.

    (1) [itex]-x \leq x\cos(1/x) \leq x[/itex].
    (2) [itex]\cos(1/x) \to 1[/itex] as [itex]x \to \infty[/itex].
    (3) How fast does [itex]\cos(1/x)[/itex] oscillate at [itex]x \to 0[/itex]?
     
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: Draw a graph of xcos(1/x)
  1. Xcos(1/x) limit at 0 (Replies: 17)

  2. Graph drawing (Replies: 4)

Loading...