Calculus Review for exam, Study notes of Mathematics

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122019 Print Teat PRINTABLE VERSION Test 4 You scored 65 out of 65 Question I Your answer is CORRECT, State whether the given sequence is increasing, decreasing, or not monotonic n+10 n+7 a, 7 a) * Decreasing b) __ Increasing c) Not monotonic Question 2 Your answer is CORRECT State whether the sequence converges as mn —> oo; if it does, find the limit (350") 4 a, = n! nes a) converges to 4°” b) _ converges to 45” c) converges to | d) diverges e) * converges to 0 Question 3 Your answer is CORRECT. State whether the sequence converges as n —> 00; if it does, find the limit https dAwww.casa.uh.edu/CourseWare2006/RootPages/CW/Users/StudentiGrades/Prir (Test tien 1282019 Print Towt a) converges to | b) * converges toe |? ¢) converges toe!” d) converges to e) ~~ diverges Question 4 Your answer is CORRECT, Give the least upper bound and greatest lower bound of the sequence {a,}* , given by a, = asin( =) a) © least upper bound = 4, greatest lower bound = —4 b) _ least upper bound = 3, greatest lower bound = —3 c) _ least upper bound = 4, greatest lower bound = 0 d) no least upper bound , greatest lower bound = 0 e) _ least upper bound = 1, greatest lower bound = —1 Question 5 Your answer 1s CORRECT. Which of the following series diverges by the basic divergence test? x a) se cos(7 n) n=l : a 1 >) ee — =D — n(n — 2) 7 nitps /Awww.casa.uh.edu/CourseWare2008/RoovP ages/CW/Users/StudentGrades/PrintTest him