Re: Solve This Sequences Problem



Thank you for all.

Sorry, I wanted n > 1. I thought it was obvious, my mistake.

So, how does one find the solution n > 58 using minimal mathematics.


mensanator@xxxxxxxxxxx wrote:
fiazidris@xxxxxxxxx wrote:
1) Can someone write the steps for proving the following:

Prove 2^n > n^10 for large n

n = 1 isn't large.



2) Also, 2^n = n^10 , find n

I want to see the complete steps.

I understand that n^10/2^n is a null sequence based on standard null
sequences.

I couldn't convince myself why 2^n / n^10 is not a null sequence. I
understand that using Reciprocal Rule that this sequence tends to
infinity, but I do not want the argument to go that way. I want to see
a fresh set of arguments from a different angle.

.



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