Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 2 + 12x + 24x² +48x³+... 2 sum= (1-6x) domain= (-1/6,1/6) (Give your domain as an interval or comma separated list of intervals; for example, to enter the region x < −1 and 2 < x≤ 3, enter (-infinity,-1), (2,3].)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?
2 + 12x + 24x² +48x³ + ...
sum =
2
(1 - 6x)
domain
(Give your
=
(-1/6,1/6)
domain as an interval or comma separated list of intervals; for example, to enter the region x < −1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
Transcribed Image Text:Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 2 + 12x + 24x² +48x³ + ... sum = 2 (1 - 6x) domain (Give your = (-1/6,1/6) domain as an interval or comma separated list of intervals; for example, to enter the region x < −1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
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