Consider the following function f(x) = 1/x nd [10] a) Expand the function at the expansion...

 

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Consider the following function f(x) = 1/x nd [10] a) Expand the function at the expansion point x = 1 using 2 order Taylor series and evaluate its value at x = 0.75 [5] b) Calculate the absolute truncation error for the Taylor series above. [5] c) Do you expect the absolute truncation error to reduce if you would evaluate x = 0.875 with the Taylor series expansion in part a). You do not need to conduct calculation. But you may verbally explain your answer with reasoning. [5] d) Considering the accuracy of the Taylor series expansion, write down the functional relationship between the truncation error & and Ax = x - x Consider the following function f(x) = 1/x nd [10] a) Expand the function at the expansion point x = 1 using 2 order Taylor series and evaluate its value at x = 0.75 [5] b) Calculate the absolute truncation error for the Taylor series above. [5] c) Do you expect the absolute truncation error to reduce if you would evaluate x = 0.875 with the Taylor series expansion in part a). You do not need to conduct calculation. But you may verbally explain your answer with reasoning. [5] d) Considering the accuracy of the Taylor series expansion, write down the functional relationship between the truncation error & and Ax = x - x