If the sequence { 2 9 - An An - 3 converges to 6, then the sequence {an} converges to 9.

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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2
9 - An
{²/2
If the sequence
converges to 6, then the sequence
{an} converges to 9.
An - 3
Transcribed Image Text:2 9 - An {²/2 If the sequence converges to 6, then the sequence {an} converges to 9. An - 3
If b ≤ R, an = R for all nonnegative
integers n, and
ƒ(x) = Σ an(x − b)” is a power
n=0
series in (a - b), then f(x),f'(x)
(x
X
and f(t)dt have the same
b
intervals of convergence.
Transcribed Image Text:If b ≤ R, an = R for all nonnegative integers n, and ƒ(x) = Σ an(x − b)” is a power n=0 series in (a - b), then f(x),f'(x) (x X and f(t)dt have the same b intervals of convergence.
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