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p-integr-and-p-2-1-prove-that-c-0-1-ln-ln-p-1-ln-lnp-1-p-c-ln-p-c-2-prove-that-ln-ln-p-1-ln-ln-p-lt-1-plnp-3-prove-that-lim-n-k-2-n-1-klnk-




Question Number 30213 by abdo imad last updated on 18/Feb/18
p integr and p≥2  1) prove that ∃c∈ ]0,1[ /  ln(ln(p+1))−ln(lnp) =(1/((p+c)ln(p+c)))  2)prove that ln(ln(p+1))−ln(ln(p))<(1/(plnp))  3) prove that lim_(n→∞)  Σ_(k=2) ^n  (1/(klnk))=+∞ .
pintegrandp21)provethatc]0,1[/ln(ln(p+1))ln(lnp)=1(p+c)ln(p+c)2)provethatln(ln(p+1))ln(ln(p))<1plnp3)provethatlimnk=2n1klnk=+.

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