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Va rog ajutati-ma la exercitiu

Va Rog Ajutatima La Exercitiu class=

Răspuns :

Răspuns:

[tex]\lim_{x\to\infty} \left(\frac{x+1}{x+3} \right)^{2x+1}=\lim_{x\to\infty} \left(1+\frac{-2}{x+3} \right)^{2x+1}=\lim_{x\to\infty} \left(\left(1+\frac{-2}{x+3}\right)^{\frac{x+3}{-2}}\right)^{\frac{-2(2x+1)}{x+3}}=e^{-4}[/tex].