Consider the power series 80 an (x – 6)" n=1 of variable x and with (a some sequence. If it is known that this series is divergent for x= 21 and convergent for x = -6, it can be assured with certainty that the series: a) converges for x = 18 b) diverges for x = 20 c) converges for x = 17 d) diverges for x = -9

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider the power series
00
an(I-6)"
n=1
of variable x and with an some sequence.
If it is known that this series is divergent for x= 21 and convergent for x
= -6, it can be assured with certainty that the series:
a) converges for x = 18
b) diverges for x = 20
c) converges for x = 17
d) diverges for x = -9
!!
Transcribed Image Text:Consider the power series 00 an(I-6)" n=1 of variable x and with an some sequence. If it is known that this series is divergent for x= 21 and convergent for x = -6, it can be assured with certainty that the series: a) converges for x = 18 b) diverges for x = 20 c) converges for x = 17 d) diverges for x = -9 !!
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In this series we have to find whether the series is convergent of divergent.

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