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SteamKing

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You should be able to determine this limit by inspection.

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Mark44

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Right. L'Hopital's Rule is not applicable here.L'Hospital's Rule is valid only for certain indeterminate forms, like infinity/infinity or 0/0.

I don't know about that. This limit is another of the indeterminate forms - [∞ * 0].You should be able to determine this limit by inspection.

I would multiply the expression in the limit by 1, in the form of [itex]\sqrt{x^4 + 5} + x^2[/itex] over itself.

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