Algebraically Evaluate the Limit (If It Exists)by the Appropriate Technique(s) $\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } }$

question 175

Multiple Choice

Algebraically evaluate the limit (if it exists) by the appropriate technique(s) . $\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } }$

• A) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = - \frac { 1 } { 11 }\)
• B) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 11 }\)
• C) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 12 }\)
• D) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 10 }\)
• E) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = - \frac { 1 } { 10 }\)

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Definitions:

Emotional Disturbed

A term often used in educational and psychological contexts to describe individuals who experience significant emotional or behavioral difficulties.

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A task or procedure that is widely accepted and used in research or diagnostics for consistent results across studies.

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The process by which individuals look to others in their environment for cues on how to react or behave in certain situations.

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A psychological state where an individual loses self-awareness and a sense of individuality, often leading to uncharacteristic and disinhibited behavior, typically in group settings.