For the function f(x)= cases x ,& x<2, ,& x 2

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

Problem

For the function

f(x)=\begin{cases}\lfloor x\rfloor,& x<2,\\x,& x\ge 2,\end{cases}

where

\lfloor x\rfloor

denotes the greatest integer less than or equal to

x

, find the left-hand limit and the right-hand limit of

f(x)

x\to 2