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22. (Review) Evaluate J r cos(5x) dx. a. 0 b. -2/25 c. 2/25 d. 2/50 e. None of the above 23. (Review) Evaluate (2V3 V16-I
22. (Review) Evaluate J r cos(5x) dx. a. 0 b. -2/25 c. 2/25 d. 2/50 e. None of the above 23. (Review) Evaluate (2V3 V16-I a. b. c. 10 d. e. None of the above 24. Consider the series _ an. We say that the series converges if: a. lim on, exists. b. lim an = 0. c. the sequence {Sx } of partial sums converges, where Sk = > an = aj taz tag + .tak. 7= 1 d. lim Sk+1 - Sk = 0 where Sk = _an = al taz tag+ ...+ ck. 7=1 e. All of the above. 25. Use the Integral Test to determine which of the three series below is convergent. (1)S Vn (2) 1 (3) > n=1 n= 1 in2 + 1 a. 1,2 b. 2 c. 2,3 d. 1,2,3 e. None of the above 26. Assume that on = _ for all ne N. If S = _ (-1)"-la, and Sk = _ (-1)"-lan, then the Alternating Series Test tells us that 1= 1 a) _ (-1)"-1on converges and that | S - Sk IS (-1). b) E (-1)"-1on converges and that | S - S. IS . c) _ (-1)" -lon converges and that | S - S* IS ( k+1) . d) None of the above
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