MTH 240 Final: MTH240 – S2015 Final
Document Summary
For instructor"s use only: this is a closed-book test. Mark not permitted: verify that your test has pages 1-6, (a) unless otherwise instructed, make sure you include all signi cant steps in your solution, presented in the correct order. Unjusti ed answers will be given little or no credit. Cross out or erase all rough work not relevant to your solution. (b) write your solutions in the space provided. 2: [8 marks] find the radius of convergence and interval of convergence of the series. X n=1 x2n (n2 2n + 3)2n. 3: [8 marks] find a power series representation for f (x) = ln 1+x. 4: [8 marks] find the maclaurin series for the function f (x) = x. 4+x2 and its radius of convergence. (hint: use the binomial series) 5: [5+5 marks] a) approximate f (x) = cos 2x by a taylor polynomial t4(x) with degree 4 at .
