Hello,

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.* **My questions:**
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!