Determine whether the geometric series is convergent or divergent. 00 2 πη n = 1 convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
Determine whether the geometric series is convergent or divergent. 00 2 πη n = 1 convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Determine whether the geometric series is convergent or divergent.**
\[
\sum_{n=1}^{\infty} \frac{2}{\pi^n}
\]
- [x] convergent
- [ ] divergent
---
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
\[
\boxed{}
\]
**Explanation:**
This problem involves determining the convergence of the given infinite series. The series is expressed as:
\[
\sum_{n=1}^{\infty} \frac{2}{\pi^n}
\]
You need to verify whether the series converges or diverges and provide its sum if it converges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf8dd5bb-1368-4a10-9929-9294802d0b74%2F778f9e11-4032-4ee4-8a6d-487e71907bb4%2Ff4xnyx9_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine whether the geometric series is convergent or divergent.**
\[
\sum_{n=1}^{\infty} \frac{2}{\pi^n}
\]
- [x] convergent
- [ ] divergent
---
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
\[
\boxed{}
\]
**Explanation:**
This problem involves determining the convergence of the given infinite series. The series is expressed as:
\[
\sum_{n=1}^{\infty} \frac{2}{\pi^n}
\]
You need to verify whether the series converges or diverges and provide its sum if it converges.
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