- C 10 Pts For This Problem You May Use The Fact That The Sum Of The First Several Terms In The Taylor Series For V3 1 (81.8 KiB) Viewed 22 times
C. (10 pts) For this problem, you may use the fact that the sum of the first several terms in the Taylor series for V3 – 2.c centered at c=1 is V3 – 20 = 1 + (x – 1) – 5 (x 1)2 – 5 (v – 1) – 3 (– 1)* + - + ..., 1 3 and the open interval of convergence for the series is i. [5 pts. Use the third degree Taylor polynomial centered at x=1 to approximate v1.2 to 4 decimal places. A.7760 (B.7800 (C) 1.0950 D 1.0594 E 1.0955 F None of these (Problem 1, Part C, continued) Recall that for this problem, you may use the fact that the sum of the first several terms in the Taylor series for V3 - 2x centered at x = 1 is 13.–2. = 1 – (4 – 1) – (– 1)2 – 3 (0 – 1)2 – 3 (0 - 1)* +..., - and the open interval of convergence for the series is 13 ii. (2.5 pts) The higher order polynomials centered at x = 1 for 3 - 2x should eventually provide better worse approximations for 1.2 than the lower order ones. Explanation 1 1 iii. [2.5 pts) The series 1-0 2:2 52:3 2 +... is the Taylor series centered at =0 for: A V1 -2.. B 2 23. C) V3 - 20. V5 - 2.0 E none of the previous options.