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£ \lim_{x \to \infty} \frac{x^\alpha}{a^x} \to 0  (a > 1) £

 

£ \lim_{x \to \infty} \frac{ln(x)}{x^\alpha} \to 0  (\alpha > 0) £ 

 

£ \lim_{x \to +0} x^{\alpha}ln(x) \to 0   (\alpha > 0) £

 

£ \lim_{x \to 0} \frac{sin(x)}{x} \to 1 £

 

£ \lim_{x \to 0} \biggl( 1 + x \biggl ) ^{\frac{1}{x}} \to e £

 

£ \lim_{x \to 0} \frac{ln( 1 + x )}{x} \to 1 £

 

£ \lim_{x \to 0} \frac{e^x - 1}{x} \to 1£

 

£ \lim_{n \to \infty} \biggl ( 1 + \frac{1}{n} \biggl ) ^n \to e £

 

£ \lim_{n \to \infty} \sqrt[n]{a} \to 1 £

 

£ \lim_{n \to \infty} \sqrt[n]{n} \to 1 £

 

£ \lim_{n \to \infty} \frac{a^n}{n!} \to 0 £

 

£ \lim_{n \to \infty} \sqrt[n]{n!} \to \infty £