State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n + 1 3n n!  The series converges absolutely. The series converges conditionally.     The series diverges.   please show step by step

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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7) 

State whether the series converges absolutely, conditionally, or not at all.

n = 1
(−1)n + 1
3n
n!
 The series converges absolutely.
The series converges conditionally.    
The series diverges.

 

please show step by step 

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