|(2n-3)/(n^3+1) -0| <ε
2n/n^3 <ε
2/n^2 <ε
n^2> 2/ε
n>√(2/ε)
N=[√(2/ε)] +1
∀ε>0 , ∃N=[√(2/ε)] +1 , st
|(2n-3)/(n^3+1) -0| <ε , ∀n>N
=>
lim(n->∞) (2n-3)/(n^3+1) =0