By Using L'Hopital's Rule $\frac { 9 } { 20 }$

question 122

Multiple Choice

$\text { Evaluate the limit } \lim _ { x \rightarrow 10 } \frac { - 9 ( x - 10 ) } { x ^ { 2 } - 100 } \text { first by using techniques from Chapter } 1 \text { then }$ by using L'Hopital's Rule.

• A) \(\frac { 9 } { 20 }\)
• B) \(- \frac { 9 } { 100 }\)
• C) \(- \frac { 9 } { 20 }\)
• D) 0
• E) does not exist

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Definitions:

Interquartile Range

The difference between the 75th and 25th percentiles of a data set, representing the middle 50% of values.

Boxplot

A graphical representation of data that shows the distribution's five-number summary: minimum, first quartile, median, third quartile, and maximum.

Inner Fences

Calculations in a boxplot used to identify potential mild outliers, determined using factors of the interquartile range below the first quartile or above the third quartile.

Outer Fences

Values used in boxplot analysis that identify extreme outliers in a data set, typically located beyond the inner fences or quartiles.