Suite de nombres et intervale

[yugolden]

bonjour j'ai cette suite: n=
et je dois justifier que: .

comment faire?
merci d'avance je suis perdu :mur:

[alavacommejetepousse]

bonjour minore le dénominateur

[yugolden]

je viens de STG, je ne sais pas ce que c'est que minorer, désolé.

[alavacommejetepousse]

n^2 +3n+1 >n^2

[alavacommejetepousse]

on a n^2 +3n+1 >n^2

[yugolden]

c'est très gentil de m'aider, mais je vois pas du tout où cela me mène vraiment désolé

[dudumath]

n^2 +3n+1 >n^2 signifie que 1/( n^2 +3n+1) < 1/n^2 donc en multipliant en haut et en bas par 4n tu obtiens ...

[yugolden]

j'obtiens 4n/4n(n²+3n+1)<4n/4n^3 ou encore 4n/(4n^3+12n^2+4n)<4n/4n^3

[AbsovaAdots]

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[chan79]

bonjour j'ai cette suite: n=
et je dois justifier que: .

comment faire?
merci d'avance je suis perdu :mur:

salut
une autre façon:
=0 qui est toujours vrai