Let the function be defined by f(x)= cases x^ 2 +3x-4 x+1 , & x 2

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

Problem

Let the function

f

be defined by

f(x)=\begin{cases} \dfrac{x^{2}+3x-4}{x+1}, & x\neq 2,\\ k, & x=2. \end{cases}

Find the value of

k

that makes

f

continuous at

x=2