Notable limits

• First notable limit:

  $\lim_{x\to0}(\frac{e^x-1}{x}) \, equals\, 1$
• Second notable limit:

  $\lim_{x\to0}\frac{ln(x+1)}{x}=$$1$
• Third notable limit:

  $\lim_{x\to+\infty}(1+\frac{1}{x})^x =$$e$