Question 437684
Find {{{lim (x->infinity, x^2(2-(9/x)-(3/x^2))/x^2(6-(6/x)+(5/x^2)))}}}

{{{lim (x->infinity, (2-(9/x)-(3/x^2))/(6-(6/x)+(5/x^2)))= 2/6=1/3}}}, because   

as you know

{{{lim (x->infinity, 9/x=0)}}},{{{lim( x->infinity, 3/x^2)=0}}}, same and the 

other terms are equal to zero.