Consider the Graph of the Function and Approximate $\lim _ { x \rightarrow 0 } \frac { \sin ( 8 x ) } { x }$

question 74

Multiple Choice

Consider the graph of the function and approximate $\lim _ { x \rightarrow 0 } \frac { \sin ( 8 x ) } { x }$ , if it exists.

• A) 1
• B) 4
• C) 8
• D) \(- 1\)
• E) The limit does not exist.

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Definitions:

Tremors

Involuntary, rhythmic muscle movements involving to-and-fro movements of one or more parts of the body, often affecting the hands, arms, head, or voice.

Lewy Bodies

Abnormal aggregates of protein that develop inside nerve cells, associated with Parkinson's disease and dementia.

Parkinson's Disease

A long-term degenerative disorder of the central nervous system that mainly affects the motor system, leading to symptoms such as tremors, rigidity, and bradykinesia.

Alzheimer's Disease

A progressive neurodegenerative disorder characterized by cognitive decline, including memory loss and difficulty with thinking, problem-solving, and language.