Find the Limit (If It Exists) $\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 }$

question 189

Multiple Choice

Find the limit (if it exists) .Use a graphing utility to verify your result graphically. $\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 }$

• A) \(\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 } = - \frac { 1 } { 25 }\)
• B) \(\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 } = \frac { 1 } { 10 }\)
• C) \(\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 } = - \frac { 1 } { 10 }\)
• D) \(\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 } = \frac { 1 } { 25 }\)
• E) \(\lim _ { x \rightarrow 5 } \frac { 5 - x } { x ^ { 2 } - 25 } = - \frac { 1 } { 5 }\)

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Definitions:

McClelland's Need Theory

A motivational theory that identifies three primary needs driving human behavior: Need for Achievement, Need for Power, and Need for Affiliation.

Learned Needs

Psychological needs that are acquired through life experiences and socialization, influencing individuals' behavior and motivations in various contexts.

Affiliation

The sense of connection and belongingness between individuals or groups, often leading to mutually beneficial relationships.

Higher-order Need

A term in psychology referring to needs that go beyond basic survival, such as esteem, intimacy, and self-actualization.