Question

lim când x tinde la infinit din (x/(2x+1))^x

Answer 1

Răspuns:

$\lim_{x \to \infty} (\frac{x}{2x+1} ) ^{x} = \lim_{x \to \infty} (\frac{x}{x(2+\frac{1}{x}) } ) ^{x} = lim_{x \to \infty} (\frac{1}{(2+\frac{1}{x}) } ) ^{x} = (\frac{1}{(2+0) } ) ^{infinit} = 0$