Mark the correct alternative in the following: If f(x) defined by then f(x) is continuous for all

Question

Philoid · Accepted Answer

Formula:-

(i)then f(x) is discontinuous at x=0

(ii)then f(x) is continuous at x=0

(iii) A function f(x) is said to be continuous at a point x=a of its domain, iff

Given:-

Using R.H.L

Using L.H.L

f(x) is discontinuous at x=0

Again using R.H.L

Using L.H.L

f(x) is discontinuous at x=1

Therefore, f(x) is continuous for all except at x=0 and x=1