1. Prove that converges. (hint: use the fact that 2n > n4 for all n> 100)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 37E
icon
Related questions
Question
3. Assume lim inf |an| = 0, then there is a subsequence (an) of (an) so
that any converges absolutely.
Σ
Transcribed Image Text:3. Assume lim inf |an| = 0, then there is a subsequence (an) of (an) so that any converges absolutely. Σ
1. Prove that Σ
n > 100)
n²
2n
converges. (hint:
(hint:
use the fact that 2n > n4 for all
Transcribed Image Text:1. Prove that Σ n > 100) n² 2n converges. (hint: (hint: use the fact that 2n > n4 for all
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage