1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: 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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted