Evaluate $\lim _ { x \rightarrow 0 } \frac { 2 x ^ { 2 } + x - 9 } { x - 2 }$

question 29

Essay

Evaluate $\lim _ { x \rightarrow 0 } \frac { 2 x ^ { 2 } + x - 9 } { x - 2 }$ , and justify each step by indicating the appropriate Limit Law(s).

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Definitions:

Estivation

A period of dormancy or inactivity in some animals during hot or dry periods.

Acclimatization

The process by which an organism adjusts to gradual changes in its environment, improving its performance over time.

Migration

(1) The periodic or seasonal movement of an organism (individual or population) from one place to another, usually over a long distance.

Ectotherms

Organisms that regulate their body temperature through external sources, such as sunlight or a heated rock surface, rather than internal metabolic processes.