math118_s14_asst9 - MATH 118 Spring 2014 Assignment 9...

This preview shows page 1 - 2 out of 2 pages.

MATH 118 Spring 2014Assignment 9Topics: Power series, Applications of Taylor Series, Binomial SeriesDue: Friday, July 18thInstructions:Print your name and I.D. number at the top of the first page of your solutions, and underlineyour last name.Additionally, state your tutorial section number.Submit your solutions in the same order as that of the questions appearing.Your solutions must have legible handwriting, and must be presented in clear, concise andlogical steps that fully reveal what you are doing.If you get help or collaborate with someone, then acknowledge the names of those who helpedyou. Any outright copying of assignments will be reported as an act of academic plagiarism.1. Find the centre, radius, and interval of convergence for the following series.(a)Xn=18nn(2x+ 1)n(b)Xn=0n+ 1n!(x-1)n(c)Xn=0(-1)n(2n)!2nxn2. Using the geometric series11-x=Xn=0xn,|x|<1, find power series representationscentred at 0 for the following functions. Additionally, state the radius of convergence

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture