Determine the Limit Algebraically, If Possible $\lim _ { x \rightarrow 0 } \frac { - 7 x - 6 \sin x } { x }$

question 132

Multiple Choice

Determine the limit algebraically, if possible.
- $\lim _ { x \rightarrow 0 } \frac { - 7 x - 6 \sin x } { x }$

• A) 0
• B) \(- 1\)
• C) Does not exist
• D) \(- 13\)

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Definitions:

Basilar Membrane

A core component of the cochlea in the inner ear, playing a critical role in the sense of hearing by vibrating in response to sound.

Pinna

The visible part of the ear that is outside the head, responsible for collecting sound waves and funneling them into the ear canal.

Auditory Canal

A tubular structure of the outer ear that conducts sound waves from the external environment to the tympanic membrane (eardrum).

Olfaction

The sense of smell, a chemical sensing system that allows the detection of volatile substances in the environment.