MAT187H1 Quiz: MAT187H1_20141_611426684011quiz_2014

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31 Jan 2019
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@mail. utoronto. ca: write only on the front pages (with qr code on top), only the front pages will be scanned. Make sure you have all of them: you can use the back of pages for rough work, you can use page 8 for rough work or to complete a question (mark clearly). Xk=1 ak converges if and only if: we can write f (x) = Then f (99)(0) : consider the series ( 1)k k! ek k2k . 3 (c) 1 + (x 1) + (x 1)2. 6 (b) e(cid:18)1 + (x 1) + (x 1)2. 3 (cid:19) (d) e(cid:18)1 + (x 1) + (x 1)2. Xk=42 kkx2k (k 6)! (a) r = (b) r = What is the largest possible value for r > 0? (c) r = 1. Mat197 quiz (b) the lightbulb will last at least a years. Mat197 quiz (c) the lightbulb will last at most b years.