Let kinℕ. If f⁽ᵏ⁾ and f are continuous and periodic of period 2π, show that lim(n→[infinity])n⁽ᵏ⁾hat (f )(n)=0.
a) The given limit converges to 0 as n tends to infinity.
b) The given limit diverges.
c) The given limit oscillates without converging.
d) The limit cannot be determined.