Use a CAS to Plot the Function near the Point $\lim _ { x \rightarrow 0 } \frac { \sqrt { 36 + x } - \sqrt { 36 - x } } { x }$

question 310

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
- $\lim _ { x \rightarrow 0 } \frac { \sqrt { 36 + x } - \sqrt { 36 - x } } { x }$

• A) 6
• B) 0
• C) \(\frac { 1 } { 12 }\)
• D) \(\frac { 1 } { 6 }\)

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Definitions:

Axons

Long, slender projections of nerve cells, or neurons, which conduct electrical impulses away from the neuron's cell body.

Dendrites

Branch-like extensions from the neuron's cell body, which receive electrical messages from other nerve cells.

Synapse

The intersection between the axon of one neuron and the dendrites of other neurons.

Amygdala

A region of the brain involved in experiencing emotions, especially fear and aggression, as well as memory processing.