Mathematics

Mathematics

Problem

The graph of hh consists of the line segment y=2x+1y=2x+1 for x<1x<1 (including the point (1,3)(1,3)) and the parabola y=x2y=x^{2} for x>1x>1, with an open circle at (1,1)(1,1). Determine the type of discontinuity of hh at x=1x=1.

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