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Homework Statement
Determine whether the sequence converges or diverges. If it converges, what does it converge to?
(cos[n])^2 / (2^n)
Homework Equations
L'Hospital's Rule
or
Squeeze Theorem
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?