Use the Definition of Big_ $O$ To Prove That $\frac { 6 n + 4 n ^ { 5 } - 4 } { 7 n ^ { 2 } - 3 }$

question 19

Essay

Use the definition of big_ $O$ to prove that $\frac { 6 n + 4 n ^ { 5 } - 4 } { 7 n ^ { 2 } - 3 }$ is $O \left( n ^ { 3 } \right)$ .

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Definitions:

Paralanguage Cues

Non-verbal elements of communication used to modify meaning and convey emotion, such as tone of voice and gestures.

Electronically Mediated Communication

The exchange of information between individuals through electronic means, including email, social media, and texting.

Text Messaging

The act of sending brief, written messages via cellular or mobile phone network from one person to another.

Polygraph Machine

A device used to measure and record physiological responses such as blood pressure, pulse, and perspiration, often used in lie detection.