Consider the function

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

Problem

Consider the function f(x)=3x−1x2+5f(x)=\dfrac{3x-1}{x^{2}+5}. Which one of the following statements is true about ff? (a) ff\text{ is discontinuous at }x=\sqrt{5} (b) ff\text{ is continuous for all real numbers} (c) ff\text{ is discontinuous at }x=-5 (d) ff\text{ is discontinuous at }x=\dfrac13

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