Is this ?
So the serie diverges.
In fact
Please help to determine whether the series is convergent or divergent by Ratio Test
2^(n+1)/2(n+2)^2+1
When I found lim a(n+1)/a(n) = lim 2 (n is approaching infinity) =2
2 is greater than 1, series converges.
I probably made a mistake in lim calculations, if 2 is incorrect, will you please show me how to do it.
Thank you very much
Will you please check for correctness. Thank you a lot.
Determine whether the series is convergent or divergent by Ratio Test.
series (n+1)/n^2
By Ratio Test lim is 1 , so the ratio test failed. We can use Limit Comparison. By Limit Comparison Test lim is 1, which is greater than 0, so both series are divergent based on b(n), because b(n) is divergent.
Please explain if I am wrong. Thank you again