QUESTION 2 Match the series with the correct statement regarding the Integral Test. V z cos(1m) COS 2n Q Ma 1n2+l V n II 1n4+l : || A. f is not decreasing so the integral test cannot be used B. f is neither positive nor decreasing so the integral test cannot be used c_ f is positive and decreasing so the integral test can be used D. f is not positive so the integral test cannot be used Test the series 2 I k=l 2'E - l for convergence or divergence l The series diverges by direct comparison with the geometric series with r: 2 O The series converges by limit comparison with the geometric series with r: l 2 The series diverges by limit comparison with the geometric series With r= 2 l The series converges by direct comparison with the geometric series with r: 2 QUESTION 5 W Which of the following inequalities can be used to show that Z " converges? n :l n 3 + I n l O S _ n 3 + l n 2 n l O S _ n 3 + l n n l O 2 Test each series for convergence or divergence. QUESTION 6 A. w B converges by direct comparison with 213; C. no diverges by directcomparison with 2 3 k =1 2 W diverges by limit comparison with Z [a 2