The oscillation, as seen from the solution of problem 3.5.32, is accompanied by beating. When ω→ω0, the range of beats grows indefinitely, but their period, and hence the rise time, grows indefinitely. Let the time elapsed since the forcing force began is much less than ∣ω−ω0∣2π. Use the approximation sinε≈ε for (ε≪ 1) and determine the nature of the oscillation swing in this case.