a) Find the radius of convergence and the interval of convergence for the -(-1)^(x-3)" 2n+1 series

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Author:James Stewart
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Chapter1: Functions And Models
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a) Find the radius of convergence and the interval of convergence for the
.(-1)"(x-3)"
2n+1
series
b) Find the radius of convergence and the interval of convergence for the
(-1)"x"
n° 5"
series
Transcribed Image Text:a) Find the radius of convergence and the interval of convergence for the .(-1)"(x-3)" 2n+1 series b) Find the radius of convergence and the interval of convergence for the (-1)"x" n° 5" series
11 1 1
*2'3'4'5'
a) Determine whether the sequence 1,
is convergent or divergent.
b) Determine whether the series 1+
1.1, 1, 1
++
is convergent or
2 3 45
divergent.
c) Show that the series
diverges.
7n +2
d) Determine whether the series is the series convergent or divergent.
1,2, 1, 2
39 27 81 243 729
1.
2
> If convergent, what is the infinite sum?
n!
e) Use the ratio test to determine if the series
converges cr
100"
diverges.
Transcribed Image Text:11 1 1 *2'3'4'5' a) Determine whether the sequence 1, is convergent or divergent. b) Determine whether the series 1+ 1.1, 1, 1 ++ is convergent or 2 3 45 divergent. c) Show that the series diverges. 7n +2 d) Determine whether the series is the series convergent or divergent. 1,2, 1, 2 39 27 81 243 729 1. 2 > If convergent, what is the infinite sum? n! e) Use the ratio test to determine if the series converges cr 100" diverges.
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