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Unformatted text preview: the function f ( x ) = 3cos ( . 6 x ) at a = 0. A. Find T 5 ( x ) . (Enter a function.) T 5 ( x ) = B. Find the largest integer k such that for all x for which  x  &lt; 1 the Taylor polynomial T 5 ( x ) approximates f ( x ) with error less than 10k . k = 7. (1 pt) Let F ( x ) = Z x sin ( 3 t 2 ) dt . Find the MacLaurin polynomial of degree 7 for F ( x ) . Enter a function of x . Use this polynomial to estimate the value of Z . 63 sin ( 3 x 2 ) dx . Enter a number. 8. (1 pt) Evaluate lim x ln ( 14 x )+ 4 x + 8 x 2 3 x 3 Hint: Use power series. 1 Generated by the WeBWorK system c WeBWorK Team, Department of Mathematics, University of Rochester 2...
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 Spring '08
 FABER
 Calculus, Power Series, Taylor Series, degree Taylor polynomial

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