Write out the first five term of the sequence determi whether the sequence converges and if so find its limit
( n^2)/(4n+1)
n= 1 to n = ∞
as n---> oo
the term -----> n^2/(4n) or n/4 or oo
so for sure it does not convergerge.
n=1, 1/5
etc down to
n = 5, 25/21
now try n = 10
100/41 , starting to climb