Find the limit of the following sequences or determine that the sequence diverges: 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find the limit of the following sequences or determine that the sequence diverges:

1. \( \left\{ \frac{n^3}{n^2 + 1} \right\} \)

**Explanation of Problem:**

The problem is asking to analyze a mathematical sequence and determine its behavior as \( n \) approaches infinity. Specifically, you are tasked with finding the limit of the sequence \( \frac{n^3}{n^2 + 1} \), or stating if the sequence diverges, meaning it doesn't approach a finite value.
Transcribed Image Text:**Problem Statement:** Find the limit of the following sequences or determine that the sequence diverges: 1. \( \left\{ \frac{n^3}{n^2 + 1} \right\} \) **Explanation of Problem:** The problem is asking to analyze a mathematical sequence and determine its behavior as \( n \) approaches infinity. Specifically, you are tasked with finding the limit of the sequence \( \frac{n^3}{n^2 + 1} \), or stating if the sequence diverges, meaning it doesn't approach a finite value.
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