Math  /  Calculus

Questionlimxx2+exx1ln(ex+1)\lim _{x \rightarrow-\infty} \frac{-x^{2}+e x}{x-1}-\ln \left(e^{-x}+1\right)

Studdy Solution
إيجاد النهاية للتعبير المبسط:
limx(e1)xx1=limx(e1)11x=e1\lim_{x \rightarrow -\infty} \frac{(e-1)x}{x-1} = \lim_{x \rightarrow -\infty} \frac{(e-1)}{1-\frac{1}{x}} = e-1
النهاية النهائية هي:
e1\boxed{e-1}

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