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Question

limx2x24x+23x2

A
8
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B
18
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C
13
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D
8
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Solution

The correct option is D 8
Multiplynumeratoranddenominatorby(x+2+3x2)wewillgetltx2(x24)(x+2+3x2)(x+23x2)×(x+2+3x2)ltx2(x24)(x+2+3x2)x+2(3x2)ltx2(x2)(x+2)(x+2+3x2)2x+4ltx2(x+2)(x+2+3x2)2(2+2)(2+2+62)2=4×42=8

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