Write an inequality relating to for n ≥ 1. -n 1 n² n² (Express numbers in exact form. Use symbolic notation and fractions where needed.) inequality: ∞ Use the above inequality to determine if the series Σ n=1 The series diverges. The series converges absolutely. The series converges conditionally. (-1)"e-n 5n² converges or diverges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Write an inequality relating to
for n ≥ 1.
n² n²
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
inequality:
Use the above inequality to determine if the series
The series diverges.
The series converges absolutely.
The series converges conditionally.
n=1
(−1)ne-n
5n²
converges or diverges.
Transcribed Image Text:Write an inequality relating to for n ≥ 1. n² n² (Express numbers in exact form. Use symbolic notation and fractions where needed.) inequality: Use the above inequality to determine if the series The series diverges. The series converges absolutely. The series converges conditionally. n=1 (−1)ne-n 5n² converges or diverges.
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