Limit Guessing Algorithm

[ram.rachum at gmail.com]

Hello hello,

I'm looking for a piece of code, preferably in Python, that will do
the following. It will accept a few data points (x,f(x)) of a function
that converges to some finite value when x converges to infinity. I
need the algorithm to guess what that limit is, to whatever precision
it can.

For example, if the input is:

[
[1,8],
[2,7.5],
[3,7.25],
[4,7.125]
]

Then the output will be 7. Or at least something close.

Does anyone know anything like that?