Famous Series

Geometric Series

P-Series

Harmonic Series

• diverges

• this is a special case of the P-Series for P=1

Alternating Harmonic Series

• converges to ln(1+1) = ln(2) using series for ln(1+x) below.

Exponential

where

Sin

Cos

ln (1+x)

• you can arrive at this relation by integrating a Geometric Series in -t term-by-term.