Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Match each of the following with the correct statement. C stands for Convergent,

ID: 2891378 • Letter: M

Question

Match each of the following with the correct statement. C stands for Convergent, D stands for Divergent.

D WeBWorK : pacheco-m × Secure l https://webwork.math ou.edu/webwork2/pacheco-math2433.004.fall2017/Hw9/21/?user-rit29175&effectiveuser-ritz9; 175&key-NaJbCkor;?NDKsIn5yFKR.. NeBwork MAA MATHEMATICAL ASSOCIATION OF AMERICA Logged in as ritz9175 Log Out C - MAIN MENU Courses Homework Sets webwork pacheco_math2433_004 fall2017/ hw9 21 HW9: Problem 21 HW9 Prev Up Next Problem 21 Password/Email (1 pt) Match C stands for Convergent, D stands for Divergent. each of the following with the correct statement. Grades Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 2. n3-100 In n 3. 5. 7l Note: To get full credit, all answers must be correct. Having all but one correct is worth 50%. Two or more incorrect answers gives a score of 0%. Preview Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining.

Explanation / Answer

(1)sum from n=1 to n=infinity 5/(n(n+3))

By the compairision test the series is convergent

(2)sum from n=5 to n=infinity 5/(n^3-100)

By the compairision test the series is convergent

(3)sum from n=1 to n=infinity ln(n)/(3n)

By the compairision test the series is divergent

(4)sum from n=1 to n=infinity (4+2^n)/(6+5^n)

By the ratio test, series convergent

(5) sum from n=1 to n=infinity 1/(2+sqrt(n^4))

the comparision, the series convergence