MATH 139 Midterm: MATH 139 McGill Examw99

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MATH 139 Full Course Notes
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MATH 139 Full Course Notes
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Use a second-order taylor polynomial to estimate 3 28. Math 106: review for final exam, part ii: what is the largest possible error that could have occurred in your previous estimate, use a comparison to show whether each of the following converges or diverges. If an integral converges, give a good upper bound for its value. (a) z . 7 + 5 sin x x2 dx (b) z . 3 10x12 + 17x10 dx: decide if each of the following sequences {ak} compute its limit. k=1 converges or diverges. If a sequence converges, (a) ak = 3 + 10k (b) ak = ( 1)k (c) ak = If they don"t approach 0, the nth term test tells you the series must diverge. If they do approach 0, try another test. (b) is the series geometric? (that is, do you multiply by the same constant r to get from each term to the next?)