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Q] 1] f(x)=sin 2 (x 2 -x)/x 2 -2x+1; x not equal to 1 =2; x=1 at x=1

Q]


1] f(x)=sin2(x2-x)/x2-2x+1; x not equal to 1


             =2; x=1        at x=1

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

DEar Ashwathy

f(x)=sin2(x2-x)/x2-2x+1

        =x2 [sin(x(x-1)) /x(x-1)]2

lim x→1 f(x) =lim x→1   x2 [sin(x(x-1)) /x(x-1)]2

                         =1 *1

                           =1

so function is discontinous


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