1. The problem statement, all variables and given/known data Determine whether the sequence converges or diverges. If it converges, what does it converge to? (cos[n])^2 / (2^n) 2. Relevant equations L'Hospital's Rule or Squeeze Theorem 3. The attempt at a solution As n-->infinity, this function approaches infinity/infinity. Applying L'Hospital's rule gives -(sin[n])^2 / 2 which gives infinity/2=infinity. However, if I use the squeeze theorem to say that 0<(cos[n])^2<1 and then divide everything by 2^n, then I can say that this function approaches 0. Which is the correct method?