Q26Multiple correct4 Marks3 Dec 2023Given a function f(x)={∣x∣x,x≠0,1,x=0.f(x)=\begin{cases}\frac{|x|}{x}, & x\ne0,\\ 1, & x=0.\end{cases}f(x)={x∣x∣,1,x=0,x=0. Which of the following options is/are true?Alimx→0+f(x)=f(0)\lim_{x\to0^+} f(x)=f(0)limx→0+f(x)=f(0).Blimx→0−f(x)\lim_{x\to0^-} f(x)limx→0−f(x) does not exist.Cfff is not continuous at x=0x=0x=0.Dfff is differentiable at x=0x=0x=0.
