Find the points of discontinuity of the following function: Find the points of discontinuity of the following function: f(x) - 0 if if if Share with your friends Share 0 Neha Sethi answered this Dear student We have,(LHL at x=0)limx→0-f(x)=limx→0-2x=0(RHL at x=0)limx→0+f(x)=limx→0+0=0and f(0)=0limx→0-f(x)=limx→0+f(x)=f(0)So, f(x) is continuous at x=0Now,(LHL at x=1)limx→1-f(x)=limx→1-0=0(RHL at x=1)limx→1+f(x)=limx→1+4x=4and f(1)=0So, limx→1-f(x)≠limx→1+f(x)So, f(x) is discontinuous at x=1 Regards 0 View Full Answer
