.
=f() − , − .
b f() , b, , .
X f() () , .
b f() →+∞ b:
=b
, b f() →∞, b ( ), , , .
1. . 2. =, 3. f(x)= f(x) 4. =∞, f(x)=0 5. =0, f(x)=∞ =f(x) y=g(x) , 6. [f(x)+g(x)]= f(x)+ g(x) 7. [f(x)∙g(x)]= f(x)∙ g(x) 8. = , g(x)≠0 9. [f(x)]g(x) =[ f(x)]limg(x) |
10. =0, f(x)=0, g(x)≠0
=f(x) →, |
f(x)=0.
=f(x) →, f(x)=∞.
1. : lim (2x3-4x2+5)
x→2
.lim (2x3-4x2+5)=2 ∙23-4∙ 22+5=5
x →2
2. :
. : (2-6)=2∙3-6=0, . .. (2-6)=0, 2-6 →2 , . →2 , .. =0
, , 0∙∞, ∞−∞, 00, ∞0, 10, , .
1. , , .
2. , , .
1. , (
|
|
.
2. , , , , . [2]
3. :
. .
( )
= = = =-
4. :
. .
, 2+bx+c=a(x-x1)(x-x2)
= = = =
5. :
. , , .
6.
. 0, 0. . , , :
I II .