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Homework Statement
Find the limit as x approaches infinity of (sqrt(1+3x^2))/x
The Attempt at a Solution
I tried using l'hopital's rule, but it gave me 3x/(sqrt(1+3x^2)) which doesnt help me at all.
I dont believe you can just do that. Only if two things are multiplied beneath a radical can something be taken out.Factor out a sqrt(x^2) from the numerator.
I dont believe you can just do that. Only if two things are multiplied beneath a radical can something be taken out.
Multiplying by x/x does not help either.
Hmm, perhaps you can say that as x gets arbitrarily large, its sqrt(3x^2)/x because the 1 becomes meaningless and thus the limit is sqrt(3)?