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Question Number 182077 by cortano1 last updated on 04/Dec/22

 lim_(x→∞)  x ln ((((x^2 +2x+2))^(1/4) /( ((16x^2 +2x))^(1/4)  −(√x))) )=?

$$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{x}\:\mathrm{ln}\:\left(\frac{\sqrt[{\mathrm{4}}]{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{2}}}{\:\sqrt[{\mathrm{4}}]{\mathrm{16x}^{\mathrm{2}} +\mathrm{2x}}\:−\sqrt{\mathrm{x}}}\:\right)=? \\ $$

Answered by SEKRET last updated on 04/Dec/22

  (7/(16))

$$\:\:\frac{\mathrm{7}}{\mathrm{16}} \\ $$

Commented by cortano1 last updated on 07/Dec/22

no

$$\mathrm{no} \\ $$

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