Limite 2
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Transcript of Limite 2
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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
+=