Предел функции

$$\lim_{x\rightarrow2}\ f\left(x\right)$$  

$$\log_xy$$  

$$pred_{x\rightarrow y}\ \left(x\right)$$  

$$l_л\left(x_0\right)$$  

$$f\left(x_0+0\right)$$  

$$l_п\left(x_0\right)$$  

$$f\left(x_0-0\right)$$  

$$f\left(x_0-0\right)\ne f\left(x_0+0\right)$$  

$$f\left(x_0-0\right)>f\left(x_0+0\right)$$

$$f\left(x_0-0\right)=f\left(x_0+0\right)$$

$$f\left(x_0-0\right)<f\left(x_0+0\right)$$

$$\lim_{x\rightarrow0}\ \frac{\sin x}{x}=1$$  

$$\lim_{x\rightarrow\infty}\ \frac{\log_5x}{x}=1$$  

$$\lim_{x\rightarrow\infty}\left(1+\frac{1}{x}\right)^x=e$$  

$$\lim_{x\rightarrow0}\ \frac{\ln\left(1+x\right)}{x}=1$$  

10

-10

0

$$\infty$$  

3

$$\frac{1}{3}$$  

0

$$\infty$$  

2

$$\frac{1}{2}$$  

0

$$\infty$$  

0

$$\infty$$  

e

$$e^2$$  

$$\frac{\infty}{\infty}$$  

$$\frac{5}{5}$$  

$$\frac{0}{0}$$  

$$10\times0$$  

$$\infty-\infty$$  

$$\lim_{x\rightarrow\infty}x_n$$  

$$\lim_{x\rightarrow0}f\left(x\right)$$  

$$\lim_{x\rightarrow y}f\left(x\right)$$  

$$\lim_{x\rightarrow\infty}f\left(x\right)$$