- #1
dirk_mec1
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Homework Statement
http://img394.imageshack.us/img394/5994/67110701dt0.png
Homework Equations
A banach space is a complete normed space which means that every Cauchy sequence converges.
The Attempt at a Solution
I'm stuck at exercise (c).
Suppose [tex] (f_n)_n [/tex] is a Cauchy sequence in E. Then
[tex] |f_n-f_m| < \epsilon\ \forall\ n,m \leq N [/tex]
so
[tex] |f'_n - f'_m| \leq |f'_n - f'_m|_{\infty} < \epsilon [/tex]Am I going in the right direction?
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