2. (a) Determine the third order Maclaurin polynomial P3(x) for f(x) = (1+x) ¹/2. (b) Use MATLAB to check your answer to

[answerhappygod]

2 A Determine The Third Order Maclaurin Polynomial P3 X For F X 1 X 2 B Use Matlab To Check Your Answer To 1 (71.5 KiB) Viewed 35 times

2. (a) Determine the third order Maclaurin polynomial P3(x) for f(x) = (1+x) ¹/2. (b) Use MATLAB to check your answer to part (a). (c) Use P3(x) to approximate √√6, noticing that √6 = 2(1+1/2)¹/². (d) Use Taylor's theorem to write down an expression for the error R3(x). (e) Determine an upper bound for |R3(x)|. (f) Comment on how your estimate for the error in part (e) compares with the exact error in the approximation.