Determine the Following Limits, If They Exist $\lim _{x \rightarrow-2} x(x-2)^{2}$

question 26

Essay

Determine the following limits, if they exist.
(a) $\lim _{x \rightarrow-2} x(x-2)^{2}$
(b) $\lim _{x \rightarrow 3} \frac{x^{2}-7 x+12}{x^{2}-4 x+3}$
(c) $\lim _{x \rightarrow \infty} 5 x-2$
(d) $\lim _{x \rightarrow 0} \frac{\sin 5 x}{x^{2}-x}$
(e) $\lim _{x \rightarrow 3} \frac{x-3}{x^{2}+5}$
(f) $\lim _{x \rightarrow 0} \frac{2}{x}$

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Definitions:

Social Schema

A cognitive framework that helps individuals organize and interpret information about the social world.

Stereotypes

Stereotypes are oversimplified and widely held beliefs or ideas about the characteristics, behaviors, and roles of certain groups or types of people, often based on minimal or no evidence.

Social Schemas

Cognitive frameworks that help in organizing social information based on past experiences and social norms.

Social Schema

A mental framework that enables individuals to organize and interpret social information.