Find the limit of x^2(√(x^4+5)-x^2) as x->∞

Find the limit of x^2(√(x^4+5)-x^2) as x->∞. I think it might be a L'Hospitals rule, but I'm not sure. We haven't done many problems like this yet, thanks!

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SteamKing
Staff Emeritus
I would multiply the expression in the limit by 1, in the form of $\sqrt{x^4 + 5} + x^2$ over itself.