Use limits to show that the function f (x) = x2 + 3 for x < 1 10 − x for 1 ≤ x ≤ 2 6x + x2 for x > 2 is continuous for x 6 = 1, 2, and determine what type of discontinuity does f (x) have at x = 1, 2. Support your answers using limits.

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