Give an Appropriate Answer $\lim _ { x \rightarrow 4 } f ( x ) = 7$

question 156

Multiple Choice

Give an appropriate answer.
-Let $\lim _ { x \rightarrow 4 } f ( x ) = 7$ and $\lim _ { x \rightarrow 4 } g ( x ) = - 7$ . Find $\lim _ { x \rightarrow 4 } \left[ \frac { - 4 f ( x ) - 7 g ( x ) } { 9 + g ( x ) } \right]$ .

• A) \(- \frac { 77 } { 2 }\)
• B) \(- \frac { 91 } { 9 }\)
• C) \(- 4\)
• D) \(\frac { 21 } { 2 }\)

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Definitions:

Indeterminism

The doctrine that not all events, including moral choices, are determined by previously existing causes and that humans have the capability for free will.

Jean-Paul Sartre

A French existentialist philosopher and playwright known for his concepts of freedom, existentialism, and the absurd.

Condemned To Be Free

A philosophical concept, often associated with existentialism, suggesting that humans are burdened with the freedom and responsibility to choose and define their own existence.

Negative Freedom

Refers to the absence of obstacles, barriers, or constraints, allowing individuals the freedom to act without external interference.