Question

Gauss' Test: if \(\cfrac{a_{n+1}}{a_n}\) can be written in the form: \[\frac{a_{n+1}}{a_n}=1-\frac{a}{n}-\frac{B_n}{n^r}\]
been trying to figure this convergence test out ... any insights?

Answer 1

yay!! it formated correctly :)

Answer 2

and that a/n, i believe is spose to be an aleph/n

Answer 3

what is B_n here? one way to find convergence may be like this..\[\lim_{n \rightarrow \infty} \frac{a_{n}}{a_{n+1}}= \lim_{n \rightarrow \infty} (1-a/n +B_n/n)=1\] if B_n in finite for all n.