MATH 1502 Midterm: MATH 1502 GT prepTest1A09
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Practice test i a for calculus ii, math 1502, september 1, 2009. This test is to be taken without calculators and notes of any sorts. For example, if you mean 2 do not write 1. 414 . Show your work, otherwise credit cannot be given. I: (25 points: find the 12-th order taylor polynomial p12(x) for the function cos(x3), using the above result, compute an approximate value for. 0 cos(x3) 1 x3 dx : give an estimate on how accurate the value computed in b) approx- imates the integral. Ii: (25 points) compute the limits: a) b) c) ax. 1 log(a)x x2 lim a 0 (e2n + en)1/n lim n . Iii: (25 points) decide which of the following improper integrals exists and compute its values if it exists: a) b) c: extra credit: Iv: (25 points) which of the following series is convergent or divergent. a) b: evaluate the series.
