Rewrite the series m=3 am x+1 -x Lm=1amx+3 as a single power series whose general term involves xm. 00 a) Em=5(am-1- am-4) xm c) azx* + Em=5(am-1- am-4) xm b) Em=4(am-1- am-3) xm d) azx³ + Em=-4(am-1- am-3) xm Q.12) The interval and radius of convergence for power series Em-0 (-1)xm , respectively, are: d) (-00, +oo), 3 m! a) (-00,+o), ∞ b) (-o, +o), 1 c) (-o, +0), 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Rewrite the series m=3 am x+1 -x Lm=1amx+3 as a single power series whose general term
involves xm:
a) Em=5(am-1- am-4) xm
c) azx* + Em=5(am-1- am-4) x™
b) Em=4(am-1- am-3) xm
d) azx + Em=4(am-1 – am-3) xm
Q.12) The interval and radius of convergence for power series Em=0
(-1)mxm
, respectively, are:
d) (-00, +o), 3
m!
a) (-00, +0), ∞
b) (-0, +0), 1
c) (-o, +0), 2
Transcribed Image Text:Rewrite the series m=3 am x+1 -x Lm=1amx+3 as a single power series whose general term involves xm: a) Em=5(am-1- am-4) xm c) azx* + Em=5(am-1- am-4) x™ b) Em=4(am-1- am-3) xm d) azx + Em=4(am-1 – am-3) xm Q.12) The interval and radius of convergence for power series Em=0 (-1)mxm , respectively, are: d) (-00, +o), 3 m! a) (-00, +0), ∞ b) (-0, +0), 1 c) (-o, +0), 2
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