Question: Employing the binomial series generated by ( 1 / ( 1 + x ) ) , where ( | x | 1

Employing the binomial series generated by

\ (1 / (1 +

) \),

where

\ (|

| 1\),

compute the sum of the series, using a finite number of terms with a convergence criterion

\ (\

varepsilon

\),

as done in Example

2.1 .

Write an algorithm for the purpose and, using a calculator or a computer, study the effect of varying the convergence criterion on the numerical results.

$Employing the binomial series generated by \ ( 1$

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