Find the value of so that the function f(x)= cases x^ 2 -1 x-1 , & x 1

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

Problem

Find the value of

k

so that the function

f(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x\neq1,\\ k, & x=1\end{cases}

is continuous at

x=1