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Question

limx3x+36x29

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Solution

limx3x+36x29

Rationalising the numenator

=limx3(x+36)(x3)(x+3)(x+36)(x+3+6)

=limx3((x+3)6)(x3)(x+3)(x+3+6)

=limx3(x3)(x3)(x+3)(x+3+6)

=limx31(x+3)(x+3+6)

=1(3+3)3+3+6

=16(6+6)=16×26

=1126


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