For which values of is the function continuous?

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

Problem

For which values of xx is the function f(x)=5−xx−2f(x)=\dfrac{\sqrt{5-x}}{x-2} continuous? (a) (−∞,5](-\infty,5] (b) (−∞,2)∪(2,5](-\infty,2)\cup(2,5] (c) (2,5](2,5] (d) (−∞,2)∪(2,5)(-\infty,2)\cup(2,5)

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