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The eye reacts to bright light by reducing the radius of the pupil. Let xx denote the light intensity, then the radius of the pupil

The eye reacts to bright light by reducing the radius of the pupil. Let xx denote the light intensity, then the radius of the pupil in mm is given by

R(x)=40+24x0.41+4x0.4.R(x)=40+24x0.41+4x0.4.

What is the rate of change of the pupil dilation as function of light intensity?

Compute limxR(x)limxR(x) and limxR(x)limxR(x)

Interpret your answer in biological terms.

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