happyhim3

Hello all. My name is Brandon, and I do math and physics in my free time (usually as an off-shoot to something I'm studying in school). I just posted a new thread of a math problem that I came up with today. Check it out if you have time. It's in the Linear Algebra and Group Theory section of the Mathematics section. That is all.

Hello, this is my first thread and first post. I was bored today and came up with this interesting problem that I cannot solve (probably to do with the fact that I'm only in calculus II). We are going through sequences so this is my inspiration. So here it goes. (Note: I'll be using a sub n in place of n being a subscript of a because I don't know how to do that on this forum.) Let a be a sequence with a sub n being the nth term. Let a sub n=n^(n^x)/(n!)^n. Find max. a sub n in terms of x where x satisfies that the limit of a sub n as n approaches infinity equals zero and n is in the natural number set. Have fun.