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Question

The value of limx2[1x(x2)21(x23x+2)] is

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Solution

limx2[1x(x2)21(x23x+2)]

=limx2[1x(x2)21(x1)(x2)]

=limx2[x1x(x2)x(x2)2]

=limx2[x1x2+2xx(x2)2]

=limx2[3xx21x(x2)2]=limx2(x23x+1)x(x2)2

limx2(x23x+1)x(x2)2

=(46+1)2×0

=(56)0

=


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