Which of the following tests should be used to determine convergence or divergence of the series an where n=1 an = 3" (n+7)! Oratio test O root test alternating series test O divergence test O comparison or limit comparison test O integral test What is the conclusion of the test? O The series diverges. O The series converges conditionally. O The series converges absolutely.

Calculus: Early Transcendentals
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Author:James Stewart
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Which of the following tests should be used to determine convergence or divergence of the series
Σ
n=1
an where
an =
372
(n+7)!
Oratio test
O root test
-?
alternating series test
O divergence test
comparison or limit comparison test
O integral test
What is the conclusion of the test?
O The series diverges.
O The series converges conditionally.
O The series converges absolutely.
Transcribed Image Text:Which of the following tests should be used to determine convergence or divergence of the series Σ n=1 an where an = 372 (n+7)! Oratio test O root test -? alternating series test O divergence test comparison or limit comparison test O integral test What is the conclusion of the test? O The series diverges. O The series converges conditionally. O The series converges absolutely.
Expert Solution
Step 1: Define the problem

The given series sum from n equals 1 to infinity of a subscript n ,here a subscript n equals fraction numerator 3 to the power of n over denominator open parentheses n plus 7 close parentheses factorial end fraction

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