Provide an Appropriate Response $f ( n ) = \sqrt { n ^ { 2 } + 9 } - \sqrt { n ^ { 2 } - 9 }$

question 132

Multiple Choice

Provide an appropriate response.
-Let $f ( n ) = \sqrt { n ^ { 2 } + 9 } - \sqrt { n ^ { 2 } - 9 }$ . What is $f ( n )$ approximately equal to as $n$ gets large? Hint: Compute various examples on your calculator.

• A) \(\frac { 9 } { n ^ { 2 } }\)
• B) \(\frac { 9 } { 2 n }\)
• C) \(\frac { 9 } { \sqrt { n } }\)
• D) \(\frac { 9 } { \mathrm { n } }\)

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Definitions:

Induction

A method of reasoning that involves moving from specific instances to a generalized conclusion.

Sample Size

The number of individuals or observations used in a study or represented in a statistical analysis.

Informed Consent

A process ensuring that an individual understands and voluntarily agrees to participate in a particular procedure or experiment, with full knowledge of the potential risks and benefits.

Operationalization

The process of defining and measuring variables in research in a way that they can be empirically tested.