Revision as of 06:33, 25 February 2024 edit 74.15.249.89 (talk) →Proof Tag: Reverted ← Previous edit		Revision as of 06:34, 25 February 2024 edit undo 74.15.249.89 (talk) →Proof Tag: Manual revert Next edit →
Line 37: : <math>\begin{align} d(x_m, x_n) & \leq d(x_m, x_{m-1}) + d(x_{m-1}, x_{m-2}) + \cdots + d(x_{n-+1}, x_n) \\ & \leq q^{m-1}d(x_1, x_0) + q^{m-2}d(x_1, x_0) + \cdots + q^nd(x_1, x_0) \\ & = q^n d(x_1, x_0) \sum_{k=0}^{m-n-1} q^k \\

Banach fixed-point theorem: Difference between revisions