DI, DJ, DK, DL

D1 math.stackexchange.com/q/3758540/29335

C1 math.stackexchange.com/q/3758938/29335

D2 math.stackexchange.com/q/3758077/29335

If $x_{n+1}= \frac{\sum_{i=1}^n f(x_i)}{n}$ then prove or disprove that $\{x_n\}$ is convergent is – I think – an exact duplicate of this question. It was asked again because (quote)“... some steps in that solution are not clear to me” (without pointing what those steps are). I would suggest to close as a duplicate and then merge the answers into the older Q&A.

D1, D2, D3.

D4, D5, D6.

D7, D8, D9.

D10, D11, D12.