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Prove-that-lim-x-xln-x-x-m-ln-x-m-




Question Number 75225 by ~blr237~ last updated on 08/Dec/19
Prove that  lim_(x→∞)  (xln∣x∣−(x−m)ln∣x−m∣)=+∞
$$\mathrm{Prove}\:\mathrm{that}\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{xln}\mid\mathrm{x}\mid−\left(\mathrm{x}−\mathrm{m}\right)\mathrm{ln}\mid\mathrm{x}−\mathrm{m}\mid\right)=+\infty \\ $$

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