(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

let's define {b_n} as an infinite sequence such that

all terms are nonnegative, and

for any i, j >= 1,

b_{i+j} <= b_i + b_j

it's easy to show that b_n/n <= (b_1) for all n, but

how would you show that

{(b_n)/n} is a convergent sequence?

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Using induction, I got upto 0 < = b_n / n < = b_1

but that was pretty much it.

I have to show that it's monotone from some N on or something like that, i think..

but I'm just stuck about how to show that.

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# Homework Help: About Convergence of a particular sequence

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