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Let I(x) = ∫ − + dx ) xe 1 ( x ) 1 x ( 2 x , x > 0. If ∞ → x lim I(x) = 0, then I

1. is equal to -
2. ) 1 e ( log 1 e 2 e e + − + +
3. ) 1 e ( log 2 e 1 e e + + + +
4. ) 1 e ( log 2 e 1 e e + − + + (4) ) 1 e ( log 1 e 2 e e + + + +

Correct answer: is equal to -

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