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

question 131

Multiple Choice

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


Definitions:

Working Memory

A brain function of limited capability designed to hold information in the short term for later processing.

Chunks

In cognitive psychology, chunks refer to the units of information organized and grouped together for easier understanding and recall.

Long-Term Memory

The aspect of memory in which information is stored for an extended period, potentially as long as a lifetime.

Mnemonic Device

A strategy or technique that aids in remembering information, such as an acronym or rhyme.

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