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Question

Evaluate limxaa+2x3x3a+x2x,(a0)

A
233
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B
433
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C
533
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D
733
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Solution

The correct option is A 233
limxaa+2x3x3a+x2x

limxaa+2x3xa+2x+3xa+2x+3x13a+x2x3a+x+2x3a+x+2x

limxa[(a+2x)3x][(3a+x)4x]3a+x+2xa+2x+3x

limxa(ax)(3a3x)3a+x+2xa+2x+3x

limxa133a+x+2xa+2x+3x

=13(4a+2a)(3a+3a)

=1323

=233

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