Question

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 = ∞

Answer 1

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