I typed the following expression into Wolfram:
sqrt[(x^3)/(x-3)]-x and wanted to know the limit for $x$ approaching infinity. The result is $3/2$.
I have spent a lot of time now trying to get $3/2$ on paper by myself but I just cannot get to the right result.
I'm not subscribed to Wolfram so I cannot see their step by step solution so if anybody could help out here, I'd be much obliged.