- 1 The Maclaurin Expansion For Tani X Is Given By 0 X 2n 1 Rs Tan X 1 2n 1 X R 7 N 0 3 5 A Approxima 1 (52.63 KiB) Viewed 63 times
1) The Maclaurin expansion for tani x is given by: 0 x 2n+1 rs tan x= (-1)" 2n + 1 X- + - r? 7 +... n=0 3 5 a) Approximate tan (5.000x10) using 3 terms in the series, then 4 terms, and then 5 terms. b) Calculate the true percent relative error and the approximate percent relative error of your approximations from a). ex) Using only 1 term to approximate tan (-1.000) would give tan (-1.000) = -1. Using 2 terms with give tan "-1.000) = -1 - (-1)/3 = -1 +1/3 = -2/3. 2) Based on the approximate percent relative error of the 5-term approximation in problem la, how many digits are significant? (Hint -> this involves the specified answer tolerance Es.)