- 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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