Limite 2
2
Clasa a 11-a E Test evaluare. Limite de funcţii 14. 2. 2012 Calculaţi: 1) ( 2 lim 2 2 x x x x →-∞ - + = ................................................................................................................................................................................................................ 2) ( lim x x arctg e - →+∞ = ................................................................................................................................................................................................................ 3) ln lim 1 ln x x x x →+∞ - = + ................................................................................................................................................................................................................ Fie ( 29 : , 1 2 3 x x f f x → = + + ℝ ℝ . Calculaţi. 4) ( ( 29 lim 2 x f x f x →-∞ = + ................................................................................................................................................................................................................ 5) ( ( 29 lim x f x f x →-∞ = - ................................................................................................................................................................................................................ 6) ( ( lim x arcctg f x →∞ = ................................................................................................................................................................................................................ 7) ( 29 1 lim ln x f x →∞ = ................................................................................................................................................................................................................ Fie ( 29 [ ] {} : , . 2 x x f f x x + → = + ℝ ℝ Atunci. 8) ( lim x f x →∞ = ................................................................................................................................................................................................................ 9) Studiaţi existenţa limitei ( 1 lim x f x → .
-
Upload
adriana-adrii -
Category
Documents
-
view
213 -
download
0
description
Limite 2
Transcript of Limite 2
-
Clasa a 11-a E Test evaluare. Limite de funcii 14. 2. 2012
Calculai:
1) ( )2lim 2 2x
x x x
+ =
................................................................................................................................................................................................................
2) ( )lim xx
arctg e+
=
................................................................................................................................................................................................................
3) lnlim1 lnx
xx
x+
= +
................................................................................................................................................................................................................
Fie ( ): , 1 2 3x xf f x = + + . Calculai.
4) ( )( )lim 2xf x
f x =+
................................................................................................................................................................................................................
5) ( )( )limxf x
f x =
................................................................................................................................................................................................................
6) ( )( )limx
arcctg f x
=
................................................................................................................................................................................................................
7) ( )1lim ln
x f x =
................................................................................................................................................................................................................
Fie ( ) [ ]{ }: , .2x xf f x
x
+ =
+ Atunci.
8) ( )limx
f x
=
................................................................................................................................................................................................................
9) Studiai existena limitei ( )1
limx
f x
.
-
10) ( )limx
f x
=
................................................................................................................................................................................................................
Fie ( ) 2: , 2 5 .f f x x x x = + + Atunci. 11) ( )lim
xf x
=
................................................................................................................................................................................................................
12) ( )limx
f x
=
................................................................................................................................................................................................................
13) ( )21lim 1xf xx
=
................................................................................................................................................................................................................
14) ( )2lim 1xf xx
=
+
................................................................................................................................................................................................................
Fie ( ): , sin .f f x x = Atunci.
15) ( )limx
f xx
=
................................................................................................................................................................................................................
16) ( )211
lim1x
f xx
+=
................................................................................................................................................................................................................
17) ( )( )0
ln 1limx
f xx
+=
................................................................................................................................................................................................................
18) ( )( )ln 2limx
f xx
+=
![[Www.fisierulmeu.ro] 96013459 zero-limite](https://static.fdocumente.com/doc/165x107/5478291eb4af9f8b0b8b45b2/wwwfisierulmeuro-96013459-zero-limite.jpg)
