what is the domain, range, vertical asymptote, and horizontal asymptote of ln(x)/x^2

Question

Thank you

Answer 1

Domain: D(f)=(0,  ∞)

Range: R(f)=(-∞, 1/2e]

 

Vertical asymptote  is x=0 

 

Limit _{x -> 0} ln(x)/x² =-∞

 

Horizontal asymptote is y=0

 

Limit _{x -> ∞} ln(x)/x² =0