$\text { Evaluate the limit } \lim _ { x \rightarrow 0 } \frac { \sqrt { 49 - x ^ { 2 } } - 7 } { 9 x } \text { using L'Hopital's Rule if necessary. }$

question 28

Multiple Choice

$\text { Evaluate the limit } \lim _ { x \rightarrow 0 } \frac { \sqrt { 49 - x ^ { 2 } } - 7 } { 9 x } \text { using L'Hopital's Rule if necessary. }$

• A) \(- \frac { 1 } { 9 }\)
• B) \(- \frac { 7 } { 9 }\)
• C) 1
• D) 0
• E) does not exist

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Definitions:

Interval

An interval in statistics refers to the difference between two points on a scale, often used to measure the distance or gap between data points.

Test Statistic

A number derived from sample observations in a hypothesis test that determines if the null hypothesis should be refused.

Randomized Block

A design of experiment that aims to reduce variation from confounding variables by grouping them into blocks before randomly applying treatments within each block.

Analysis of Variance

A statistical method used to test the differences between two or more means by analyzing variance.