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Question

limxaa+2x3x3a+x2x; (a0) is equal to

A
23
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B
23
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C
133
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D
233
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Solution

The correct option is D 233
L=limxaa+2x3x3a+x2x
This is 00 form
L=limxaa+2x3x3a+x4x×a+2x+3xa+2x+3x×3a+x+4x3a+x+4xL=limxa(a+2x3x)(3a+x+4x)(3a+x4x)(a+2x+3x)L=limxa(ax)(3a+x+4x)3(ax)(a+2x+3x)L=limxa(3a+x+4x)3(a+2x+3x)L=4a+4a3(3a+3a)L=43(23)=233

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