Hello everybody! Excuse me for my possibly poor english but as you can guess from my name, I'm Italian. My question is kind of silly, but I'll submit it anyway because it puzzles me.
If i take f(x)=1/(1-x) and expand it using the Taylor formula, and 0 as centre, i obtain:
..That is the geometric series.
Now, if i calculate the value of the polynomial in x=-1, i'll obtain -of course- 1/2...but:
1/2 = 1-1+1-1+1-1+1....
??? I can't figure out the meaning of this!