Math 2924 Geometric Series - Arkansas Tech University MATH 2924 Calculus II Dr Marcel B Finan Solutions to Assignment 8.6 Exercise 3 We have 1 1 = = 1 x

Math 2924 Geometric Series - Arkansas Tech University MATH...

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Arkansas Tech University MATH 2924: Calculus II Dr. Marcel B. Finan Solutions to Assignment 8.6 1
Exercise 11Using the method of partial fractions, we find3x2-x-2=1x-2-1x+ 1.Thus,3x2-x-2=-12Xn=0x2n-Xn=0(-1)nxn=Xn=0-1212n-(-1)nxn=Xn=0(-1)n+1-12nxn.The seriesn=0(x2)nconverges for|x|<3 and the seriesn=0(-1)nxnconverges for|x|<1.The sum series converges for|x|<1Exercise 13

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