Verified Answer :

bbyluv

Since you are approaching it from the positive side you should not use L'Hopitals rule. 
You should instead use very small values of x to see the trend 

if you look at x=.0001, then ln(.0001)/(.0001)= -92103.4 
where as x=1, ln(1)/1=0 
as you can see as x approaches 0, the answer goes to - infiniti

HomertheGenius

I think that a question is not complete: But if it is :\(\lim_{x \to \infty} \frac{ln x}{x}\)then it is a form:infinity/infinity and we will use l´Hospitals rule:\(\lim_{x \to \infty} \frac{1/x}{1}\)=1/∞ = 0.

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