ch9_Practice_Test

# ch9_Practice_Test - Date: _ Name: _ Math 604 Practice...

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1 Date: ___________________ Name: _________________________ Math 604 Practice Problems for Chapter 9 Exam 1. The sequence a n { } , where a n = n + 2 n ! " # \$ % & n converges to what value? 2. Which of the following series converge? (Circle one) a. ( ! " ) e n n = 1 # \$ b. ( ! 1) n 2 n 4 n 5 + 1 n = 0 " # c. 7 n n = 1 ! " d. ( ! 1001 1000 ) n n = 1 " # d. 1 n 0.999 + 1 n = 1 ! " 3. Which of the following series converges to 2? I. 2 n n + 3 n = 1 ! " II. ! 8 ( ! 3) n n = 1 " # III. 1 2 n n = 0 ! " a. I only b. II only c. III only d. I and III only e. II and III only 4. Which of the following series diverge? (Circle one) a. ( ! n + 1 2 n + 5 n = 1 " # b. cos( n ! ) n n = 1 " # c. ! 1 ( ) n + 1 2 n 3 n + 1 n = 1 " # d. ! 1 ( ) n + 1 n 3 n + 1 n = 1 " #

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2 5. Determine whether the given series converges or diverges, and if it converges, find its sum. a. 1 ( n + 2)( n + 3) n = 3 ! " b. 1 n ! 1 n + 1 " # \$ % & n = 1 ( ) c. ln 1 2 + ln 2 3 + ln 3 4 + ln 4 5 + ! d. e ! 2 n n = 0 " # e. 2 n ( n + 2) ! " # \$ % & n = 1 ( f. 1 ln2 ! " # \$ % & n n = 1 (
3 6. Determine if the series converges or diverges. a. 2 n n 2 + 1 n = 1 ! " b. 5 n + 1 n = 1 ! " c. ln n n n = 2 ! " d. n sin 1 n ! " # \$ % & n = 1 ( e. e n 1 + e 2 n n = 0 ! " f. 5 n 3 ! 3 n n 2 ( n + 2)( n 2 + 5) n = 1 " #

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4 7. Determine if the series converges or diverges.
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## This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.

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ch9_Practice_Test - Date: _ Name: _ Math 604 Practice...

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