I am trying to accelerate a Taylor series with an alternating sign and found that Euler's acceleration is something I should look into.
I found this document,
https://kconrad.math.uconn.edu/blurbs/analysis/series_acceleration.pdf
which in section 3 pretty clearly explains the math behind it until point 3.20, after which I find it really hard to understand what is going on.
Could someone help me understand it.
Thank you in advance.