Determine $\lim _ { x \rightarrow 6 } \frac { | x - 6 | } { x ^ { 2 } - 36 }$

question 230

Multiple Choice

Determine $\lim _ { x \rightarrow 6 } \frac { | x - 6 | } { x ^ { 2 } - 36 }$ (if it exists) by evaluating the corresponding one-sided limits.

• A)6
• B)0
• C)limit does not exist
• D) \(- \frac { 1 } { 12 }\)
• E) \(\frac { 1 } { 12 }\)

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Definitions:

Analogue Experiments

Experiments that simulate real-life situations in a controlled environment to study the effects of variables on behavior in a laboratory setting.

External Validity

The extent to which the findings of a study can be generalized to other settings, populations, and time periods beyond the original conditions of the study.

Independent Variable

In research and experimentation, it is the variable that is manipulated or changed to observe its effect on a dependent variable.

ABAB Design

A research method involving repeated measurements over time where conditions are alternated to observe the effect of an intervention.