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Limita cand x tinde la -infinit din x*e^2/x-x este?

Răspuns :

[tex]\lim _{x\to \infty \:}\left(x\frac{e^2}{x}-x\right) \\ =\lim _{x\to \infty \:}\left(x\frac{e^2}{x}\right)-\lim _{x\to \infty \:}\left(x\right) \\ =e^2-\infty \:=-\infty \:[/tex]