Let (An) be a Cauchy sequence such that n is a member of N, and let c be a member of R, prove that (c*An) is also a Cauchy sequence
2026-04-04 19:44:27.1775331867
Can you prove the following Cauchy sequence
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If $c=0$, then we are done.
Let $c \ne 0$. Then
$|cA_n-cA_m|=|c||A_n-A_m| < \epsilon \iff |A_n-A_m|< \frac{\epsilon}{|c|}$.
Can you procced ?