Working with binomial series Use properties of power series, substitution and factoring to find the first four nonzero terms of the Taylorseries centered at 0 for the following functions. Give the interval of convergence for the new series. Use the Taylor series

Solution 36EStep 1 :Given and .Substituting in the power series given to us to get the new series , we getTherefore the first four nonzero terms of the new series are: .