Taula da límit

Modell:O Modell:Sbozz De seguit è ripurtada la taula da lìmit, per calcul matematich.

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