UH MATH 1432 - Test 4 (5 pages)

12 17 2016 Print Test PRINTABLE VERSION Test 4 You scored 10 out of 40 Question 1 Your answer is CORRECT Give the least upper bound and greatest lower bound of the sequence a least upper bound 4 greatest lower bound 0 b least upper bound 3 greatest lower bound 3 c no least upper bound greatest lower bound 0 d least upper bound 4 greatest lower bound 4 e least upper bound 1 greatest lower bound 1 a n n 1 3 n where a n 4 sin 2 Question 2 Your answer is INCORRECT Find the sum of the series if possible k 1 a k 1 2 k 3 9 2 b 0 c d 3 e diverges 3 2 Question 3 Your answer is INCORRECT https www casa uh edu CourseWare2008 Root Pages CW Users Student Grades PrintTest htm 1 5 12 17 2016 Print Test Which of the following series diverges by the basic divergence test a n 1 n n2 2 b n 1 c 1 n n 2 2 n 1 n 2 d 2 n 1 n 3 2n 1 Question 4 Your answer is INCORRECT Determine whether the series a converges b diverges c cannot be determined 9n 3 n 3n 2 converges or diverges Question 5 Your answer is INCORRECT Determine whether the series 6 n 5 a converges b diverges c cannot be determined 3 converges or diverges Question 6 Your answer is INCORRECT Determine whether the series 1 n 1 n 5 n 3 converges or diverges n n 1 a converges https www casa uh edu CourseWare2008 Root Pages CW Users Student Grades PrintTest htm 2 5 12 17 2016 Print Test b diverges c cannot be determined Question 7 Your answer is CORRECT Determine whether the series 1 does not converge a converges absolutely b converges conditionally c does not converge n 7 n n 5 5n 2 n 2 converges absolutely converges conditionally or 1 Question 8 Your answer is INCORRECT What is the interval of convergence for n 0 1 n 5 1 a b 5 5 c d 5 5 e 5 5 f 5 5 1 1 5 5 1 1 5 n x 5 Question 9 Your answer is CORRECT https www casa uh edu CourseWare2008 Root Pages CW Users Student Grades PrintTest htm 3 5 12 17 2016 Print Test This is a written question worth 15 points DO NOT place the problem code on the answer sheet A proctor will fill this out after exam submission Show all steps work on your answer sheet for full credit Problem Code 911 For each of the following determine if the sequence converges If the sequence converges give the limit and if it diverges tell why a n 6 b 1 c d 2n n n 1 2n 3 n 2 n 1 1 n 2 n 3 n 1 n 1 n 3 n 1 a I have placed my work and my answer on my answer sheet b I want to have points deducted from my test for not working this problem Question 10 Your answer is CORRECT This is a written question worth 15 points DO NOT place the problem code on the answer sheet A proctor will fill this out after exam submission Show all steps work on your answer sheet for full credit Problem Code 1049 n Part a Determine if 4 2 n converges or diverges Use proper notation and show all of your work 3 Part b Determine if n 3 2 3n work 2 4 n converges or diverges Use proper notation and show all of your 6n 1 a I have placed my work and my answer on my answer sheet b I want to have points deducted from my test for not working this problem Question 11 Your answer is CORRECT https www casa uh edu CourseWare2008 Root Pages CW Users Student Grades PrintTest htm 4 5 12 17 2016 Print Test This is a written question worth 15 points DO NOT place the problem code on the answer sheet A proctor will fill this out after exam submission Show all steps work on your answer sheet for full credit Problem Code 1126 Given k k 1 x 2 k 1 3k 2 Part a Find the radius of convergence Part b Find the interval of convergence Part c Give the derivative of the power series a I have placed my work and my answer on my answer sheet b I want to have points deducted from my test for not working this problem Question 12 Your answer is CORRECT This is a written question worth 15 points DO NOT place the problem code on the answer sheet A proctor will fill this out after exam submission Show all steps work on your answer sheet for full credit Problem Code 1271 Part a Find the power series in sigma notation for 1 f x 3 x Part b Using your answer from part a and the derivative of a power series give the power series in sigma notation for 1 g x 2 3 x Part c Using your answer from part a and the integral of a power series give the power series in sigma notation for h x ln 3 x a I have placed my work and my answer on my answer sheet b I want to have points deducted from my test for not working this problem https www casa uh edu CourseWare2008 Root Pages CW Users Student Grades PrintTest htm 5 5