Provide an Appropriate Response $f ( n ) = \sqrt { n ^ { 2 } + 4 } - \sqrt { n ^ { 2 } - 4 }$

question 143

Multiple Choice

Provide an appropriate response.
-Let $f ( n ) = \sqrt { n ^ { 2 } + 4 } - \sqrt { n ^ { 2 } - 4 }$ . What is $f ( n )$ approximately equal to as $n$ gets large? Hint: Compute various examples on your calculator.

• A) \(\frac { 4 } { n ^ { 2 } }\)
• B) \(\frac { 4 } { \sqrt { n } }\)
• C) \(\frac { 4 } { 2 n }\)
• D) \(\frac { 4 } { n }\)

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Definitions:

Ulnar

Pertaining to the ulna, one of the two long bones in the forearm, located on the side opposite the thumb.

Ulnar

Pertaining to the ulna, one of the two long bones in the forearm, located on the side opposite to the thumb.

Radial

Pertaining to the radius bone or located near it; also refers to structures arranged like rays extending from a central point.

Median

Relating to the middle or center, often in reference to a value that separates the higher half from the lower half of a data sample or a physical structure that is in the central part.