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Question

limx(x33x24x23x+2) is equal to

A
does not exist
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B
13
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C
0
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D
29
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Solution

The correct option is D 29
limxx33x24x23x+2
=limxx3(3x+2)x2(3x24)(3x24)(3x+2)
=limx2x3+4x29x3+6x212x8
=limx2+4x9+6x12x28x3
=29

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