Provide an Appropriate Response $\lim _ { n \rightarrow n ^ { \mathrm { c } } } \frac { 1 } { \mathrm { n } ^ { \mathrm { c } } } = 0$

question 189

Multiple Choice

Provide an appropriate response.
-It can be shown that $\lim _ { n \rightarrow n ^ { \mathrm { c } } } \frac { 1 } { \mathrm { n } ^ { \mathrm { c } } } = 0$ for $\mathrm { c } > 0$ . Find the smallest value of $N$ such that $\left| \frac { 1 } { \mathrm { n } ^ { \mathrm { c } } } \right| < \varepsilon$ for all $\mathrm { n } > \mathrm { N }$ if $\varepsilon = 0.01$ and $c = 1.8$ .

• A) 12
• B) 10
• C) 11
• D) 13

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Definitions:

Misplaced Modifier

A grammatical mistake where a modifier (word, phrase, or clause) is incorrectly placed, leading to confusion about what is being modified.

Dangling Modifier

An expression or word that alters an unclearly mentioned word within a sentence, frequently causing misunderstandings or amusing readings.

Misplaced Modifier

A modifier placed too far from the word it describes, potentially causing confusion or ambiguity in the sentence.

Managing Emphasis

The act of strategically highlighting or prioritizing certain aspects, responsibilities, or areas in management to achieve desired outcomes.