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Question

Evaluate:limx08x4x2x+1x2

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Solution

limx08x4x2x+1x2
=limx04x(2x1)1(2x1)x2
=limx0(2x1)(4x1)x2
=limx04x1x×limx02x1x
=loge(4)loge(2)=2(ln2)2

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