Question#1 (15 points): Error Calculation and Taylor Expansion 1. Error calculation: a. Show that the nested evaluation technique used for polynomials can also be applied to the evaluation of Rewrite the function in itsn b. Use three-digit rounding arithmetic, the assumptione 1.53 4.62, and the fact that (e 1.53)n = (en)1.53 to evaluate f( 1.53) as given in a. c. Repeat b using three-digit chopping arithmetic. d. Redo the calculation in (b) by first nesting the calculations. e. Compare the approximations in (b), (c), and (d) to the true three-digit result f(1.53)--7.61 (Find the percentage error in each case)