Consider the sequence $$a_n=\ln\left(\frac{(n+1)^{41}}{n^{40}}\right).$$ This sequence is not monotone for all $n$. Determine if the sequence is eventually monotone for $n \ge N$ for some whole number $N$.

Select Monotone increasing for n greater than or equal to N Monotone decreasing for n greater than or equal to N Neither

If it is eventually monotone, give the value least value of $N$. If it is not eventually monotone, enter NA.