Define f(x)= cases (x-1) x-1 ,& x1 cases Which ordered pair ensures that is…

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

Problem

Define f(x)={sin⁡(x−1)x−1,x<1d,x=1bx+2,x>1f(x)=\begin{cases}\dfrac{\sin(x-1)}{x-1},& x<1\\d,& x=1\\bx+2,& x>1\end{cases} Which ordered pair (b,d)(b,d) ensures that ff is continuous at x=1x=1? (a) (1,1)(1,1) (b) (−2,0)(-2,0) (c) (−1,1)(-1,1) (d) (−1,−1)(-1,-1)

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