Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Absolute Minimum

  1. Nov 5, 2011 #1
    I found that the local minimum of y=x(e^1/x) is (1,e) but can someone tell me why the absolute minimum is also not (1,e) and can someone tell me why this function does not have an absolute minimum? Thanks
     
  2. jcsd
  3. Nov 6, 2011 #2

    chiro

    User Avatar
    Science Advisor

    Hey nickeisenberg and welcome to the forums.

    Just to clarify, what is the domain of your function?
     
  4. Nov 6, 2011 #3
    all reals number except 0
     
  5. Nov 6, 2011 #4
    y= x (e^1/x)

    Think about the two components.
    If x -> -∞
    x -> -∞
    e^(1/x) -> 1 (1/-∞) ~ 0, e^0 = 1
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Absolute Minimum
  1. Minimum length (Replies: 1)

  2. Minimum of gamma? (Replies: 1)

  3. Limits and minimum (Replies: 2)

  4. Maximums and Minimums (Replies: 4)

Loading...