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New Tab X (8) h x MyV X Cou X Wol X (unr X Inte X Woll X W MyV X Micr X + X F -) C elearn.usp.ac.fj/pluginfile.php/693876/mod_resource/content/2/Assignment%202.pdf n Error . . . Microsoft Word - MA112 Assignment 2 2/2 QUESTION 2 [4 + (4 + 4) + (4 +4) = 20 MARKS] + 0o (a) Determine whether the sequence is increasing/decreasing, monotonicon- monotonic, bounded below/ bounded above or is bounded. (b) Determine whether the following series converge. If they converge then find their sum. +00 +00 k3 k (i) k = 1 (ii) K= 1 In(k + 2) (c) (i) Find the Taylor series for the function f(x) = e2x about Xo = In 2, writing the series using sigma notation. (ii) Using Taylor's Theorem find an upper bound for the 8th remainder Rg (x) on the interval [-1, 1] for f(x) = e2x at x = 0. + THE END Page 2 of 2 LO M 9 C 1:09 PM 27/05/2020 FA