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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
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