Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 103

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = 8 - x$ .

• A) 1
• B) 9
• C) \(- 1\)
• D) 8
• E) limit does not exist

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Definitions:

Organic Polymers

Large molecules composed of repeating carbon-based units, including proteins, nucleic acids, and many synthetic materials.

Clay

A natural, earthy material composed of fine-grained minerals, typically used in ceramics and construction.

Free Oxygen

Molecular oxygen (O2) that is not bound to another element, making it available for various biochemical processes in the environment.

Primitive Earth

Refers to the Earth's condition in its earliest stages, characterized by a hot, molten surface and the absence of life.