Solving finite limit without L'Hôpital – math.stackexchange.com

Solving finite limit without L'Hôpital – math.stackexchange.com

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I have come across a problem which requires solving the following limit without L'Hôpital rule: $$\lim_{x\to\infty} x^2\cdot(e^\frac{1}{x-1}-e^\frac{1}{x})$$ It is obvious from the graphic plot (or ...

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