Question

8. a) Consider the following series, show that is converges and what is its sum? What is the n?? term? ? [ 1/(n+1) – 1/(n+3) ] nth term = SUM = b) Use integral test to determine convergence or divergence. Remember, you must show that it meets all necessary properties / conditions. ? 2 / (n+1)¹/² C) Use limit comparison test to show convergence or divergence of the following series. ? 1 / [ n ( n² + 3 ) ¹/² ]

          8. a) Consider the following series, show that is converges and what is its sum? What is the n?? term?
? [ 1/(n+1) – 1/(n+3) ]
nth term =
SUM =
b) Use integral test to determine convergence or divergence. Remember, you must show that it meets all necessary properties / conditions.
? 2 / (n+1)¹/²
C) Use limit comparison test to show convergence or divergence of the following series.
? 1 / [ n ( n² + 3 ) ¹/² ]

8. a) Consider the following series, show that is converges and what is its sum? What is the n?? term?
? [ 1/(n+1) – 1/(n+3) ]
nth term =
SUM =
b) Use integral test to determine convergence or divergence. Remember, you must show that it meets all necessary properties / conditions.
? 2 / (n+1)¹/²
C) Use limit comparison test to show convergence or divergence of the following series.
? 1 / [ n ( n² + 3 ) ¹/² ]

Added by Margaret C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

08/19/2023

Step 1

The series is given as: 2 (1/(n+1) - 1/(n+3)) Show more…

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a) Consider the following series, show that is converges and what is its sum? What is the nth term? ∑ [ 1/(n+1) - 1/(n+3) ] nth term = SUM = b) Use integral test to determine convergence or divergence. Remember, you must show that it meets all necessary properties / conditions. ∑ 2 / (n+1)1/2 c) Use limit comparison test to show convergence or divergence of the following series. ∑ 1 / [n ( n² + 3) 1/2]