Taula da límit

De seguit è ripurtada la taula da lìmit, per calcul matematich.

• $\lim _{x\to 0}{\frac {\sin(x)}{x}}=1\!$
• $\lim _{x\to 0}{\frac {1-\cos(x)}{x}}=0\!$
• $\lim _{x\to 0}{\frac {1-\cos(x)}{x^{2}}}={\frac {1}{2}}\!$
• $\lim _{x\to 0}{\frac {\tan(x)}{x}}=1\!$
• $\lim _{x\to 0}{\frac {\arcsin(x)}{x}}=1\!$
• $\lim _{n\to +\infty }{\left(1+{\frac {1}{n}}\right)}^{n}=e\!$
• $\lim _{n\to +\infty }{\left(1+{\frac {\theta }{n}}\right)}^{n}=e^{\theta }\!$
• $\lim _{x\to 0}{\left(1+\theta x\right)}^{\frac {1}{x}}=e^{\theta }\!$
• $\lim _{x\to 0}{\frac {\log(1+x)}{x}}=1\!$
• $\lim _{x\to 0}{\frac {\alpha ^{x}-1}{x}}=\log(\alpha )\!$
• $\lim _{x\to 0}{\frac {{\left(1+x\right)}^{\theta }-1}{x}}=\theta \!$