Find the Limit by Direct Substitution $\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)$

question 99

Multiple Choice

Find the limit by direct substitution. $\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)$

• A) \(\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)\) = \(\frac { 1 } { 19 }\)
• B) \(\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)\) = -19
• C) \(\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)\) = \(\infty\)
• D) \(\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)\) = \(\frac { 19 } { 2 }\)
• E) \(\lim _ { x \rightarrow 4 } \left( \frac { x - 1 } { x ^ { 2 } + 8 x + 9 } \right)\) = \(- \frac { 2 } { 19 }\)

---

Definitions:

Medulla

The base of the brainstem; controls vital life-sustaining functions such as heartbeat, breathing, blood pressure, and digestion.

Pons

A crucial structure in the brainstem that plays key roles in sleep and dreaming, arousal, and coordination of movement.

Brain Stem

The central trunk of the mammalian brain, connecting the brain to the spinal cord and responsible for controlling basic functions like breathing and heart rate.

Pons

A part of the brainstem that plays key roles in regulating breathing, communication between different parts of the brain, and sensations such as hearing, taste, and balance.