By Calculating an Appropriate Number of Terms, Determine If the Series

question 447

Multiple Choice

By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit $L$ and the smallest integer $N$ such that $\left| a _ { n } - L \right| < 0.01$ for $n \geq N$ ; otherwise indicate divergence.
- $$a _ { n } = n \cos \frac { 1 } { n }$$

• A) L = 0, N = 37
• B) L = 1, N = 28
• C) L = 0, N = 28
• D) diverges

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Definitions:

Collaborative Consumption

The practice of sharing, swapping, bartering, or renting access to products and services, rather than owning them, typically facilitated by community-based online platforms.

Unsupervised Learning

A type of machine learning algorithm used to draw inferences and find patterns in datasets without pre-existing labels.

System

A set of interacting or interdependent components forming an integrated whole or a method or set of procedures for achieving something.

Data

Information that has been translated into a form that is efficient for movement or processing relative to context.