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- Find the Taylor series for f(x) = 1/1+2x at x=2 and its interval of convergenceWhat are the first non-zero terms of the Taylor series, the power series written in sigma notation, and the interval of convergence for the function f(x)=ln(1+4x) with a=0?What is the radius of convergence of the Taylor series for (x2 − 2x + 2) − 1 about x = 0? about x = 1?
- Find Taylor series for function f(x) =lnx centered at a=1Find the Taylor series centered at zero for the function f(x) = ln(2 + x^2). Determine the radius of convergence of this series.Find the Taylor series of the functionf(x) = ln(1 + 2x)−ln(1−2x) at x= 0. Find the interval of convergence for the Taylor series.