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limx→∞ x3(x2+1+x4−x2)= ?\large \lim_{x \to \infty} \ x^3 \left(\sqrt{x^2 + \sqrt{1+x^4}} - x\sqrt{2} \right) = \, ? x→∞lim x3(x2+1+x4−x2)=?
For your final step, use the approximation 2=1.4 \sqrt 2 = 1.42=1.4.
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