if-a-n-is-convergent-then-prove-that-there-exists-a-subsequence-n-k-a-n-k-with-lim-k-n-k-a-n-k-0-

Question Number 63054 by jimful last updated on 28/Jun/19

i f Σ ∣ a_{n} ∣ i s c o n v e r g e n t, t h e n

p r o v e t h a t t h e r e e x i s t s

a s u b s e q u e n c e {n_{k} a_{n_{k}}} w i t h

\lim_{k \to \infty} n_{k} a_{n_{k}} = 0