Prove:

So what I have is:

now

I'm not quit sure that this is right

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- Oct 20th 2008, 05:05 PMlllllProof for convergence of absolute value.
Prove:

So what I have is:

now

I'm not quit sure that this is right - Oct 21st 2008, 12:30 PMMoo
- Oct 21st 2008, 06:49 PMpoutsos.B
The sequence of formulas is as follows:

Lim =0 <====> [ε>0------> ( kεN & ( n k--------> ))] <=====>

[ε>0------> ( kεN & ( n k--------> ))] <======> Lim =0

As n-----> OO ( infinity).

The above equivalences hold because:

<=====> , since:

= ,