Graph the first several partial sums  s_n (x) of the series  n−0∑∞ x^n, together with the sum function  f(x)  =  1/ (1 − x), on a common screen. On what interval do these partial sums appear to be converging to  f(x)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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Graph the first several partial sums

 s_n (x)

of the series

 n−0∑∞ x^n,

together with the sum function

 f(x)  =  1/ (1 − x),

on a common screen. On what interval do these partial sums appear to be converging to

 f(x)?
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