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!

Analysis: Continuous Functions 2

  1. Oct 24, 2011 #1
    The pictures enlarge.

    For (4), since this is an analysis class, I figured we can't use calculus to show this. I think I validly used the corollary that says if D is compact and f is continuous then there is a min and max of f on D.

    http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20111024_143921.jpg [Broken]

    For (6), the key is to show if f is continuous and D is compact, then f(D) is compact.

    http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20111024_135823.jpg [Broken]
    Last edited by a moderator: May 5, 2017
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?

Similar Discussions: Analysis: Continuous Functions 2
  1. Continuous function (Replies: 0)