Small bank financing question

[Kyle Godbout]

hi there. 

So I'm about ready to dive further into real estate investing. My current properties are going to be switched over and refinanced at a small local bank. I'm going to use one property to establish a line of credit. And from there, I'm going to be using the BRRRR method to acquire more buy-and-hold rental properties.

 So my question is this, do small banks set a limit to the amount of houses or money lent, you can acquire using this method,  assuming all new properties have adequate cash flow and equity once rehabEd? I'm going to be sitting down with some bankers tomorrow, so I'll ask them about it there. But, I was just going to see what other investors experiences have been. 

 As usual, thanks for any input!