lim(x^2+1+4x√(x^2+1)+4x^2)/(3x^2+1)
=lim(5x^2+1+4x√(x^2+1))/(3x^2+1)
=lim(5+4√(1+1/x^2)/(3+1/x^2)
=(5+4)/3
=3
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