If $f(x)=\left\{\begin{array}{l}x+1, x

Question

If $f(x)=\left\{\begin{array}{l}x+1, x<2 \ 2 x-1, x \geq 2\end{array}ight.$, then $f$ is

Professor PC Thomas Classes · Answer

LHL at $x=2$ is $3$; RHL at $x=2$ is $3$; $f(2)=3$. It is continuous everywhere in $\mathbb{R}$.