For the piecewise function f(x)= cases x+1 x-2 , & x<1

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For the piecewise function

f(x)=\begin{cases} \dfrac{x+1}{x-2}, & x<1,\\ \sqrt{x+3}, & x\ge 1,\end{cases}

calculate

\displaystyle \lim_{x\to 1^-} f(x)