- GS.ID.1: Geometric Series Formula
Proof
Multiply s with r , therefore
Subtract rs from s , therefore
therefore,
As n goes to infinity, the absolute value of r must be less than one for the series to converge, therefore ,
- GS.ID.2: Geometric Series of Exponential
As n goes to infinity, the absolute value of e converges
- GS.ID.3: Geometric Series Derivatives
(1)
First derivative
(2)
Second derivative
(3)
(4)
(5)
from (3) and (5)
(6)
from (2) and (6)
(7)
(8)
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