Answer :


LHL =


=


=


= a - b


RHL =


=


=


= 1


Since, f(x) is continuous ,so


LHL = RHL


a - b = 1 - - - - (i)


(LHD at x = 1) =


=


=


=


Using equation (i)


=


=


=


2a


(RHD at x = 1) =


=


=


=


=


= - 1


Since f(x) is differentiable at x = 1,


(LHD at x = 1) = (RHD at x = 1)


2a = - 1


a =


put a = in equation (i),


a - b = 1


- b = 1


b =


b =


a =


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