Soit u une fonction définie et strictement positive sur I = ] 0 ; + ∞ [ SequenceForm ] 0 ; + DirectedInfinity 1 [ SequenceForm I = SequenceForm ] 0 ; + DirectedInfinity 1 [ , telle que lim x → "\[Rule]" + ∞ SequenceForm + DirectedInfinity 1 u ( x ) SequenceForm Underscript lim Rule x SequenceForm + DirectedInfinity 1 u x = 0 .
Calculez lim x → "\[Rule]" + ∞ SequenceForm + DirectedInfinity 1 ln ( u ( x ) ) SequenceForm Underscript lim Rule x SequenceForm + DirectedInfinity 1 u x .
lim x → "\[Rule]" + ∞ SequenceForm + DirectedInfinity 1 ln ( u ( x ) ) SequenceForm Underscript lim Rule x SequenceForm + DirectedInfinity 1 u x =