Provide an Appropriate Response $\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0$

question 76

Multiple Choice

Provide an appropriate response.
-It can be shown that $\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0$ for $c > 0$ . Find the smallest value of $N$ such that $\left| \frac { \ln n } { n ^ { c } } \right| < \varepsilon$ for all $n > N$ if $\varepsilon = 0.01$ and $c = 1.8$ .

• A) 31
• B) 28
• C) 35
• D) 25

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Definitions:

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A psychological phenomenon that occurs within a group of people when the desire for harmony or conformity results in an irrational or dysfunctional decision-making outcome.

Unanimous Decision

An agreement on a course of action or decision by all parties or members involved without any dissent.

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A psychological phenomenon that occurs within a group of people when the desire for harmony in a decision-making group overrides a realistic appraisal of alternatives.

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