Question 222503
{{{lim(x->infinity,(x^2-1)/x)}}} Start with the given limit.



{{{lim(x->infinity,((x^2)/x-1/x))}}} Break up the fraction 



{{{lim(x->infinity,(x-1/x))}}} Reduce



{{{lim(x->infinity,x)-lim(x->infinity,1/x)}}} Break up the limit



{{{infinity-lim(x->infinity,1/x)}}} Evaluate the first limit.



{{{infinity-0}}} Evaluate the second limit.



{{{infinity}}} Simplify



So {{{lim(x->infinity,(x^2-1)/x)=infinity}}}