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Evaluate underset(xtooo)lim(log(e)x)/(x)...

Evaluate `underset(xtooo)lim(log_(e)x)/(x)`

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As `0ltlog_(e)xltsqrt(x)(xlt1)`
`implies" "0ltunderset(xtooo)lim(log_(e)x)/(x)lt(1)/(sqrt(x)`
`implies" "oltunderset(xtooo)lim(log_ex)/(x)ltunderset(xtooo)lim(1)/(sqrt(x))`
`implies" "0ltunderset(xtooo)lim(log_(e)x)/(x)lt0`
`underset(xtooo)lim(log_(x)x)/(x)=0" "`(Using Sandwich Rule)
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