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-inn and Jackson got together one evening for studying the lecture material on power series. Finn noted rom the calculus course notes that the Maclaurin

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-inn and Jackson got together one evening for studying the lecture material on power series. Finn noted rom the calculus course notes that the Maclaurin series expansion el =1+x+ 2! 3! is valid for all r E R. (a) Jackson wants to know the form of the series for f(x) = el . Provide the first five non-zero terms of the Maclaurin series for f in the boxes below. First non-zero term = Second non-zero term = Third non-zero term = Fourth non-zero term = Fifth non-zero term = Syntax advice: Enter your answer using Maple syntax. For example, write x ^3/8 for . Write the terms in order by increasing degree, so that the first non-zero term has the lowest degree and the fifth non-zero term has the highest degree. (b) Finn is interested in finding the values of f(5) (0) and f(2) (0) by looking at the series of f. Help Finn by entering the values in the boxes below. f (5) (0) = f ( 2) (0 ) = In the box below, explain in a short sentence how you found these values from the series of f

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