study-the-sequence-u-n-1-u-n-ln-1-u-n-u-n-2-with-u-0-gt-0-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 33284 by abdo imad last updated on 14/Apr/18

study the sequence u_(n+1) = ((u_n −ln(1+u_n ))/u_n ^2 ) with u_0 >0 .

$${study}\:{the}\:{sequence}\:\:{u}_{{n}+\mathrm{1}} \:\:=\:\frac{{u}_{{n}} \:−{ln}\left(\mathrm{1}+{u}_{{n}} \right)}{{u}_{{n}} ^{\mathrm{2}} } \\ $$$${with}\:{u}_{\mathrm{0}} >\mathrm{0}\:. \\ $$

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