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Question

limx4x27x+12x23x4

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Solution

limx4x27x+12x23x4

It is of the form 00

=limx4x23x4x+12x2+x4x4

=limx4x(x3)4(x3)x(x+1)1(x+1)

=limx4(x3)(x4)(x4)(x+1)

=limx4x3x+1

=434+1=15


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