Associated with each point P of a curve (Fig. 6-7) is its abscissa x and the angle

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Associated with each point P of a curve (Fig. 6-7) is its abscissa x and the angle of inclination A of the tangent at P. Corresponding to each value of x in the interval OC there is a unique value of A. Hence A is a function of x. Determine whether A is a continuous function of x in the interval OC.

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