Q5 of 155 Page 9

Mark the correct alternative in the following:

If f(x) defined by then f(x) is continuous for all


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

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