deletions | additions       diff --git a/paragraph_f_Does_the_sequence__.tex b/paragraph_f_Does_the_sequence__.tex  index 6087106..9b954cf 100644  --- a/paragraph_f_Does_the_sequence__.tex  +++ b/paragraph_f_Does_the_sequence__.tex 
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x_{n} is a Cauchy sequence if for all $\epsilon \geq 0$ there is an N such that.  \[x_{m} \[x_{n+p}  - x_{n} < \epsilon \] where $m,n > $n \geq  N$ and $p \geq 1$  \[ \vert x(n+1)-x(n)\vert = \frac{1}{2^{n-1}} \]  \[ \frac{1}{2^{n+p-2} + \frac{1}{2^{n+p-3} + \dots \frac{1}{2^{n-1}\]