  Three classes of entangled coherent states are employed to study the
Bell-CHSH inequality. By using pseudospin operators in infinite dimensional
Hilbert spaces, four dichotomic operators $(A,A',B,B')$ entering the inequality
are constructed. For each class of coherent states, we compute the correlator
$\langle \psi \vert A B + A' B + A B' - A' B' \vert \psi \rangle$, analyzing
the set of parameters that leads to a Bell-CHSH inequality violation and,
particularly, to the saturation of Tsirelson's bound.
