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MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For f(x)=x2−16x−4f(x)=\dfrac{x^{2}-16}{x-4} when x≠4x\ne4 and f(4)=7f(4)=7, which kind of discontinuity existed at x=4x=4 before the value of f(4)f(4) was specified? (a) Jump discontinuity (b) Removable discontinuity (c) Infinite discontinuity (d) No discontinuity (function is continuous)

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