Use a CAS to Plot the Function near the Point $\lim _ { x \rightarrow 6 } \frac { \sqrt { x } - 4 } { x - 16 }$

question 193

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
- $\lim _ { x \rightarrow 6 } \frac { \sqrt { x } - 4 } { x - 16 }$

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 8 }\)
• C) 4
• D) 0

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Definitions:

Scala Vestibuli

Division of the cochlea lying above the spiral lamina and vestibular membrane.

Helicotrema

Opening at the apex of the cochlea through which the scala vestibuli and the scala tympani of the cochlea connect.

Bony Labyrinth

A complex system of channels and cavities within the temporal bone of the skull, housing the organs of hearing and balance in the inner ear.

Attenuation Reflex

The reflex mechanism that protects the inner ear from damage by reducing the transmission of sound, particularly for loud sounds, through the contraction of muscles around the ossicles.