I think I am supposed to use Rouche Theorem and Cauchy Argument Principle for this problem as well:

http://i3.photobucket.com/albums/y57...ty/prob2-1.jpg

Any ideas? Any help is appreciated! thanks

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- Dec 3rd 2007, 10:06 PMhanahoushow that f has a fixed point
I think I am supposed to use Rouche Theorem and Cauchy Argument Principle for this problem as well:

http://i3.photobucket.com/albums/y57...ty/prob2-1.jpg

Any ideas? Any help is appreciated! thanks - Dec 4th 2007, 08:41 AMThePerfectHacker
Define and use Rouche's theorem by showing that has a zero in the disk. That will mean there is such that and hence has a fixed point.