Question

Determine the values of r for which p n=1( n n+1 ) n converges

Answer 1

hey mates your answer is HERE

We have the sequence

nrn

and we want to find the values of r such that nrn converges. What I did:

for |r|<1 we have r=1k where k>1 or k<−1 so:

limn→∞nrn=limn→∞n1kn

but kn>n2 for large values of n (because |k|>1), so:

kn>n2⟹1kn<1n2⟹0<nkn<1n=0

so the sequence converges. Am I rigth? Therefore I'm only left to show that the sequence diverges for |r|>1?

please mark me as brainliest ✌️✌️

Answer 2

Step-by-step explanation:

he. here what is. r..

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