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13) Let h be a function having derivatives of all orders for x>0. Selected values of h and its first four derivatives X h(x) h'(x
13) Let h be a function having derivatives of all orders for x>0. Selected values of h and its first four derivatives X h(x) h'(x ) h" (x ) h" (x ) h4 (x ) are indicated in the table. Write the and-degree Taylor polynomial for h 1 15 18 25 32 20 centered around x=2 and use it to 2 30 40 62 84 28 approximate h(2.1). Calculator allowed. 14) Write a 3"d degree Taylor polynomial for the function f(x) = ex centered at X=1
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