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120202: ESM4A - N UMERICAL M ETHODS Spring 2010
Prof. Dr. Lars Linsen Orif Ibrogimov School of Engineering and Science Jacobs University February 09, 2010 Problem Q.1: Taylor series. Let f (x) = ln( x ). 2 (a) Derive the Taylor series of f at 2. (b) Show that the derived Taylor series represents the function f for x [2, 3]. (c) Compute ln(1.5) using the truncated Taylor series with terms up to order 2. (d) Two types of errors influence the precision of the computed estimate. Which ones? (6+7+5+2=20 points) ...
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