MTH1030 Study Guide - Final Guide: Absolute Convergence

(a) Use differentiation to find a power series representation for f(x) = (7+ x) f(x) = nx n=0 What is the radius of convergence, R? (b) Use part (a) to find a power series for co f(x) 2.7n+3 n=0 What is the radius of convergence, R? (c) Use part (b) to find a power series for f(x) = (7+ x) n=2 What is the radius of convergence, R?

(a) Find a power series representation for f(x) = ln(1 + x) f(x) = Σ n=0 What is the radius of convergence, R? (b) Use part (a) to find a power series for f(x)-x In(1 + x) ix) n=0 What is the radius of convergence, R? (c) Use part (a) to find a power series for f(x) -In(1 + X) f(x) = n=0 What is the radius of convergence, R? R=

6. + 1/2 points ! Previous Answers SCalcET8 11.9.016 Find a power series representation for the function. f x) = x4 tan-1(x3) f(x) = 2nl-1 n=0 L Determine the radius of convergence, R. R=1