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- 1 -
ANALYSE : LES LIMITES
ReRecchheerrcchhee ddeess lliimmiitteess dd’’aapprrèèss ggrraapphhiiqquueess solutions des exercices
1) 1
) 1
(
x x
f (rem : par fct de base) D = R \ {1}
) ( lim
0 ) ( lim
1 f x
x f
x x
2) ( 2)( 3)
3
² ) 2
(
x x
x x x
f D = R \ {-2,3}
) ( lim
) ( lim
? ) ( lim
2 3
x f
x f
x f
x x x
©A.Vanlook E-lim_graph
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3) ³ 3 ²
4 ) ²
( x x
x x
f
D = R \ {0,-3}
) ( lim
) ( lim
0 ) ( lim
3 0
x f
x f
x f
x x x
4) ² 4
) 1 (
x x
f (rem : fct paire) D=]-∞,-2[U]2,+∞[
) ( lim
) ( lim
0 ) ( lim
2 2
x f
x f
x f
x x x
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- 3 -
5) 2 ² 1
) 1
(
x x x
f D = R \ {-1,1/2}
) ( lim
) ( lim
0 ) ( lim
2 / 1
1
x f
x f
x f
x x x