2 11 themaclaurinseriesfor f x is f x 1 x x

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Unformatted text preview: mial for f ′( x ) , the derivative of f ( x ) , at x = 1 and use it to approximate f ′(1.2) . 11) The Maclaurin series for f ( x ) is f ( x) = 1 + x x 2 x3 xn + + + ... + + ... 2! 3! 4! (n + 1)! (a) Find f ′(0) and f (10) (0) . (b) Let g ( x ) = xf ( x ) . Write the Maclaurin series for g ( x ) , showing the first three nonzero terms and the general term. (c) Write g ( x ) terms of a familiar function without using series. Taylor Series HW x 12) Let f (t ) = 2 and G ( x ) = ∫ f (t ) dt . 1− t2 0 (a) Find the first four terms and th...
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