$$\text { Find the limit } \lim _ { x \rightarrow 3 } \frac { x ^ { 2 } + x - 12 } { x ^ { 2 } - 9 } \text {, if it exists. }$$

question 16

Short Answer

$$\text { Find the limit } \lim _ { x \rightarrow 3 } \frac { x ^ { 2 } + x - 12 } { x ^ { 2 } - 9 } \text {, if it exists. }$$

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Definitions:

Static Equilibrium

A state where an object is at rest or its center of mass moves at a constant velocity, with no net force acting upon it.

Gravitational Equilibrium

The state where gravitational forces within a star are balanced by the outward pressure of nuclear fusion, key in stellar structure.

Vestibule

An entrance or enclosed anteroom between the outer door and the interior parts of a house or building, or the central cavity of the labyrinth of the ear.

Crista Ampullaris

A sensory organ located within the semicircular canals of the inner ear, detecting head movements.