Tutorial 9 Solution - MA1S12 SOLUTIONS TO TUTORIAL 9 1 Find the radius of convergence for the power series k=0(2x)k k k=1(1)k xk k Solution Recall that

Tutorial 9 Solution - MA1S12 SOLUTIONS TO TUTORIAL 9 1 Find...

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MA1S12: SOLUTIONS TO TUTORIAL 9 1. Find the radius of convergence for the power seriesXk=0(2x)kk!Xk=1(-1)kxkk 1
2 MA1S12: SOLUTIONS TO TUTORIAL 9 The series converges whenρ <1, so for all values ofx(-1,1).The series diverges whenρ >1, so for all values ofx /[-1,1].We conclude that the radius of convergence for the power series isR= 1.2. Find the first three non-zero terms of the Maclaurin series forf(x) =xsin(3x)

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