.Hello, I want to ask about the Cauchy's convergence test. It states that for every epsilon<0 there is a number, such that for all [I]n, m > N holds abs(sm-sn)<epsilon.
My question is how small should be epsilon for the convergence test to be valid?
Uuh? The test is very clear: the Cauchy condition must be fulfilled for every , and thus for any,
i.e I have the series x(n+1)=(x(n))^3-a*x(n)
Why do you call that "series"?? And if you meant "sequence", the only thing you've got is
a sequence defined recursively...so?
Thanks in advance!