48 1 10x12 48 14 useseriestoevaluatethelimit e 2x

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Unformatted text preview: ∞ (x - 5)n 40) ∑ ln (n + 2) n = 1 40) 39) ∑ n =1 ∞ 41) ∑ n = 1 (x - 6)n (5n)! 41) 12 Find the interval of convergence of the series. ∞ (x - 4)n 42) ∑ (2n)! n =1 42) Find the sum of the series as a function of x. ∞ 43) ∑ (x + 7)n 43) n =0 ∞ 44) ∑ (x + 7)n 44) n =1 13 Find the Taylor polynomial of order 3 generated by f at a. 1 45) f(x) = , a = 1 x + 8 45) Find the Maclaurin series for the given function. 1 46) 4 + x 46) Find the Taylor series generated by f at x = a. 47) f(x) = x2 - 4x + 3, a = - 3 47) Find the first four terms of the binomial series for the given function. 48) (1 + 10x)1/2 48) 14 Use series to evaluate the limit. e- 2x - 1 + 2x 49) lim x2 x →0 49) Find the sum of the series. 16 64 256 50) 1 + 4 + + + + ... 2! 3! 4! 50) 15 Answer Key Testname: PF2 1) 2) y = 3 7 x + 16 16 3) - 2 4) 6 61 5) 27 6) 32π2 7) Circle of radius 24 and center (24, 0) 8) y2 = 4x 9) r2 = 38r cos θ - 6r sin θ - 9 10) 10 5 -10 -5 5 10 r -5 -10 11) 1 - 2 12) 0 25π 13) 8 14) 2 (3 3 - ...
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This document was uploaded on 03/17/2014 for the course MATH 185 at Orange Coast College.

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