Question

Cauchy's general principal of convergence theorem proof

Answer 1

Answer:

State and prove Cauchy's general principle of convergence. Cauchy's general principle of convergence: An infinite series x n converges iff for every ε > 0, there exists a positive integer N such that │ xn1  .......  xm │< ε whenever m ≥ n ≥ N. Proof: Let Sm = (x1 + x2 + …….