Find $$\lim _ { x \rightarrow 7 } \frac { x - 8 } { x ^ { 2 } + 12 x + 27 }$$

question 42

Multiple Choice

Find
$$\lim _ { x \rightarrow 7 } \frac { x - 8 } { x ^ { 2 } + 12 x + 27 }$$
by direct substitution.

• A) \(\frac { 1 } { 160 }\)
• B) \(- \frac { 1 } { 160 }\)
• C) 0
• D) \(\infty\)
• E) limit does not exist

---

Definitions:

Sample

A subset of a population used in statistical analysis, which is representative of the whole population to infer conclusions about the population.

Population

The entire group of individuals or objects that is the subject of a statistical analysis.

Variables

Elements, features, or factors that are likely to change or vary in an experiment or dataset.

Scientific Method

A systematic, organized series of steps that helps ensure objectivity and consistency in exploring a social or scientific problem.