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

Guyz please help me

  1. Apr 24, 2004 #1
    Guyz please help me !!

    hey! Could any of u plz help me with this question. Its for my general integration theory assigment.

    'Use an argumetn by contradiction to establish the following claim:
    If f is continuous on R and [tex]\int |f|= 0,then f = 0.[\tex]

    thanx
     
  2. jcsd
  3. Apr 24, 2004 #2

    mathman

    User Avatar
    Science Advisor

    Rough argument. If f is not 0 at some point, it must be not 0 in an interval around that point (continuity). Therefore the integral of |f| will be >0.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...