[20 pts] 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 V3 - 2x =1 - (x -1) - 7(x -1)2 - (2 - 1)3 OO | OT (2 - 1)+ +..., and the open interval of convergence for the series is N/ CO i. [10 pts] Use the third degree Taylor polynomial centered at x = 1 to approximate v1.2 to 4 decimal places. .7760 B .7800 C 1.0950 D 1.0594 E 1.0955 F None of these Explanationii. [5 pts] The higher order polynomials centered at x = 1 for v3 - 2x should eventually provide O better O worse approximations for v1.2 than the lower order ones. Explanation iii. [5 pts] The series 1 - x - 2 3 .4 *+ ... is the Taylor series centered at x = 0 for: A V1 -2x. B V2 - 2x. C V3 - 2x. V5 - 2x E none of the previous options. Explanation