Let 2n An = 1 – 2n - For the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter 'infinity' if it diverges to o, '-infinity' if it diverges to -∞ or 'DNE' otherwise. 2n (a) The series 1 — 2п - n=1 {,} [ 2n (b) The sequence 1 — 2п

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 73E
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Let
2n
An =
1 – 2n
For the following answer blanks, decide whether the given
sequence or series is convergent or divergent. If convergent,
enter the limit (for a sequence) or the sum (for a series). If
divergent, enter 'infinity' if it diverges to oo, '-infinity' if it
diverges to –∞ or 'DNE' otherwise.
-
2n
(a) The series ).
1- 2n
n=1
{
2n
(b) The sequence
|
1— 2п
Transcribed Image Text:Let 2n An = 1 – 2n For the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter 'infinity' if it diverges to oo, '-infinity' if it diverges to –∞ or 'DNE' otherwise. - 2n (a) The series ). 1- 2n n=1 { 2n (b) The sequence | 1— 2п
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