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).

---

Definitions:

Industrialization

The process of transforming economies from primarily agrarian to one based on the mass production of goods, typically through mechanization.

Countryside

refers to rural areas characterized by open and natural landscapes, lower population density, and primarily agricultural or pastoral activities, as opposed to urban regions.

City

A large and densely populated urban area; it may serve as a political, economic, educational, and cultural center.

Technological Advances

Technological advances refer to the progress and innovations in technology that enhance efficiency, productivity, and the quality of life.