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Unformatted text preview: • Approximate the value of the integral with an error inferior to 0.00001 a convergent alternating series. Now c 4 = 1/8!7 < 0.0000036. • Thus approximating the value of the integral with S 3 = 1/2! − 1/4!3 + 1/6!5 = 0.4863889. .. produces an error which is inferior to c 4 = 1/8!7 < 0.0000036. Thus the approximation of the integral with 0.48638 is correct to 4 decimal places. Finding limits of functions with Taylor series. 32.2 Example − Find the lim x → ∞ x sin (1/ x ). Writing the function as a Maclaurin series we get...
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This note was uploaded on 04/01/2012 for the course MATH 118 taught by Professor Zhou during the Winter '08 term at Waterloo.
 Winter '08
 ZHOU
 Calculus, Definite Integrals, Integrals, Limits

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