# Search results

1. ### Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

I had originally typed out an entire post but it got accidentally deleted so I am just skipping straight to the end. I let f(n)=a_n and substituted for f(x). Combined rational expressions and reduced it to a function of like denominator. Not entirely sure if this is correct either...
2. ### Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

Thanks for your help, Ray. Are you suggesting that I compare a_n with a simpler sequence b_n such as the one you responded with? Sorry for the confusion, I am still learning these approaches/techniques.
3. ### Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

Homework Statement Determine the convergence or divergence of the sequence with the given a_n . If it converges, find the limit. \displaystyle a_n = \frac{n^2}{(2n+1)} - \frac{n^2}{(2n-1)} The Attempt at a Solution [/B] I am not confident enough with sequence and series to know that I have...