Consider the function f(x)= cases x^ 2 -1,& x<1, 2x-1,& x 1

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

Problem

Consider the function f(x)={x2−1,x<1,2x−1,x≥1.f(x)=\begin{cases}x^{2}-1,& x<1,\\2x-1,& x\ge 1.\end{cases} Find the left-hand limit and the right-hand limit of f(x)f(x) as x→1x\to 1.

Related theory

Browse the problem library