Equivalents : vrai ou faux

1

\(x+1 \underset{x\longrightarrow+\infty}{\sim} x\)

2

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

3

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

4

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

5

\(\sqrt{x+1} \underset{x\longrightarrow 0}{\sim} 1\)

6

\(x \underset{x\longrightarrow 0}{\sim} 2x\)

7

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

8

\(e^x \underset{x\longrightarrow 0}{\sim} e^{2x}\)

9

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

10

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