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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Transcribed Image Text:Find the sum of the infinite series.
00
k
1
E 3(
10
k = 1
Step 1
Consider the infinite sequence a,, a,i a3ı ·… ª¡
....
The sum of all the terms of the infinite sequence is called an infinite series and is denoted by
+ a, +
+
а, +a, +a,
2
i = 1
Expand the given series.
k
1
3
+
3
Σ
4
10
10
10
10
10
k = 1
= 0.3 + 0.03 +
+ 0.0003 + 0.00003 +
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