I've spent many hours today investigating a sequence, I finally reduced it to (x^n)/n which is the smallest it gets, for obvious reasons.
My observations for x=1.4:
I checked on pc an I believe it keeps being strictly increasing for the rest of the terms.
1. Is this a wide know behaviour, if so, any reference to this category for studying further would be a great help.
2. How do I call this sequence, increasing or decreasing because it gets strictly increasing after some point.
3. I suspect it does not converge because the terms are aproaching infinity, am I right?
Thank you very much!