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Question

Evaluate : limx3x2x6x33x2+x3

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Solution

limx3x2x6x33x2+x3

=limx3x23x+2x6x2(x3)+1(x3)

=limx3x(x3)+2(x3)(x3)(x2+1)

=limx3(x3)(x+2)(x3)(x2+1)

=limx3x+2x2+1

=3+29+1

=510

=12
Hence, the answer is 12.


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