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Question

Solve:
limx0xy2(yx)2{(8xy4x2)+8xy}3

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Solution

limx0xy2(yx)2(8xy4x2+8xy)3

=limx0x(yy+x)(y+yx)(2x(2yx)+22yx)3

=limx0xx(2yx)8xx(2yx+2y)3

=limx0(2yx)8(2yx+2y)3

=(2y0)8(2y0+2y)3

=2y8(22y)3

=2y8×8×2y2y

=1128y

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