So I have the following examples:
- $x_k={1 \over 4^k}; k=1,2,3,\ldots$
- $x_k={1 \over k+1}; k=0,1,2,\ldots$
- $x_k={1 \over (k+1)^2}; k=1,2,3,\ldots$
I found that these are all linearly convergent.
Can someone tell me if i did something wrong, or give me better convergence proof?
The answer should be one of these following: linear, R-linear, quadratic, or superlinear
Thanks
Take a look at this definitions: