Suppose that 0<r<1 and <
Show that is Cauchy.
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Originally Posted by mremwo Suppose that 0<r<1 and Show that is Cauchy. There is a great deal missing here.
In fact, there is no question there what so ever.
Please edit your post.
yes i just edited it! sorry!
Use the generalized triangle inequality. is a convergent geometric series, thus the "tail" of the series can be made arbitrarily small.
I'm sorry, I still have no idea what to do. Could you give me another hint? This concept is very hard for me to grasp
EDIT: nevermind, i got it! thank you!
Last edited by mremwo; Feb 16th 2011 at 10:30 PM.
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