Question 1 (Multiple Choice Worth 1 poinisl I: (10.04 MC) Which of the iollowing series are absolutely convergent? I. i E n-z n - n3 ll. _ '_ '5} 1)" 3n-1 Ill. 5-: (_ la! 0 III only 0 I and Ill 0 I and II 0 II and Ill Question 2(Multiple Choice Worth 1 points) [:1 (10.04 MC) Given that the series w" = E (I)\"a,, converges by the alternating series test. and a" is positive and decreasing for all values on the interval [1, on). which of the following statements beet denes W,,? M O W,7 is absolutely convergent O W,, is conditionally convergent O W,, is conditionally and absolutely convergent 0 Not enough information is given about W,, to make a definite statement about convergence Question 3(Multiple Choice Worth 1 points) (10.04 MC) Given Sy = k! k=1100k' , determine if Sk converges or diverges by the ratio test. O Sk converges because lim k+1 =0 K-00 ak O Sk diverges because lim k+1 =.. K-woo| ak O Sk converges because lim k+1 =100 O Sk diverges because lim k+1 =100 Question 4(Multiple Choice Worth 1 points) (10.04 MC) If E (- 1 )"- 8 - = k, find S = 8 5 (-1)"_ - 24 5 (-1)" 1=1 3n2 +7n+4 n=in+ 1 n=13n +4 O Sn does not exist O S n = k OS = O Sn = -16kQuestion 5(Multiple Choice Worth 1 points) (10.04 MC) Determine the best reason for ) (_1) - diverging. 1=1 3n2 - 1 O an + 1 > an for all n on the interval [1, co) O lim a = 09 1-900 O lim an = 3 O E (-1)"an converges n=1