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Question

limx1x3+1x+1

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Solution

limx1x3+1x+1

=limx1(x+1)(x2x+1)(x+1)

[a3+b3=(a+b)(a2+b2ab)]

=limx1(x2x+1)

=(1)2(1)+1

=1+1+1

=3


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