# Math Help - Cauchy's criteria of uniform convergence of series

1. ## Cauchy's criteria of uniform convergence of series

How to prove Cauchy's criteria of uniform convergence of series using same Cauchy's criteria for sequence of functions.
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|S_{n+p}-S_n|=|f_{n+1}+...+f_{n+p}|... now what...?

2. Originally Posted by Also sprach Zarathustra
How to prove Cauchy's criteria of uniform convergence of series using same Cauchy's criteria for sequence of functions.
.
.
.

|S_{n+p}-S_n|=|f_{n+1}+...+f_{n+p}|... now what...?
I don't really get what the difficulty is, just take the sequence of partial sums and apply the theorem for sequences.