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Question

limx3x3x24x equals to

A
0
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B
32
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C
14
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D
none of these
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Solution

The correct option is D none of these
limx3x3x24x

=limx3x3x24x×x2+4xx2+4x

=limx3(x3)(x2+4x)(x2)(4x)

=limx3(x3)(x2+4x)2(x3)

=12limx3(x2+4x)=12×2=1

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