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ex 5. Monotonia si limita va rog.

Ex 5 Monotonia Si Limita Va Rog class=

Răspuns :

2an+1-2an=1
2(an+1-an)=1
an+1-an=1/2>0=.
an+1-an >0  =>
an+1>aN   sIR   MONOTON    CRESCATOR
a1=1
2a2-2=1 => 2a2=3  a2=3/2
2a3-2*3/2=1 2a3=4   a3=2
a4=5/2
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an=(n+1)/2
liman=lin(n+1)/2=+∞