Equivalents : vrai ou faux

$x+1 \underset{x\longrightarrow+\infty}{\sim} x$

$x^2-x \underset{x\longrightarrow+\infty}{\sim} x$

$\ln(x) \underset{x\longrightarrow+\infty}{\sim}\ln(10^6x)$

$x^2+2x+1 \underset{x\longrightarrow+\infty}{\sim} x^2+2x$

$\sqrt{x+1} \underset{x\longrightarrow 0}{\sim} 1$

$x \underset{x\longrightarrow 0}{\sim} 2x$

$e^x \underset{x\longrightarrow+\infty}{\sim} e^{x+10^6}$

$e^x \underset{x\longrightarrow 0}{\sim} e^{2x}$

$\frac{6x^3+2x}{2x+1} \underset{x\longrightarrow+\infty}{\sim} 3x^2$

$\frac{6x^3+2x}{2x+1} \underset{x\longrightarrow 0}{\sim} 2x$