partial sum of an infinite series is 3n² 2 2n²+1 what is the sum of the series? If the nth Sn 1 . 1. sum 2. sum 3. sum 312 3 = -1 4. series diverges 5. sum = -2

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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**Problem Statement:**

If the \( n^{th} \) partial sum of an infinite series is 

\[
S_n = \frac{3n^2 - 2}{2n^2 + 1},
\]

what is the sum of the series?

**Options:**

1. \( \text{sum} = \frac{3}{2} \)
2. \( \text{sum} = 3 \)
3. \( \text{sum} = -1 \)
4. \(\text{series diverges}\)
5. \( \text{sum} = -2 \)
Transcribed Image Text:**Problem Statement:** If the \( n^{th} \) partial sum of an infinite series is \[ S_n = \frac{3n^2 - 2}{2n^2 + 1}, \] what is the sum of the series? **Options:** 1. \( \text{sum} = \frac{3}{2} \) 2. \( \text{sum} = 3 \) 3. \( \text{sum} = -1 \) 4. \(\text{series diverges}\) 5. \( \text{sum} = -2 \)
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