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Question

Evaluate : limx15x4xx31

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Solution

Let L=limx15x4xx31×5x4+x5x4+x

=limx15x4x(x1)(x2+x+1)(5x4+x)

=limx14(x1)(x1)(x2+x+1)(5x4+x)

=4(1+1+1)(54+1)

L=43(1+1)=43×2=23

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