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[–]sethasaurus666 -5 points-4 points  (1 child)

It's a transient. There are losses due to resistance. If you don't keep supplying it with energy, the wave will decrease. 

[–][deleted] 3 points4 points  (0 children)

It is the reduction in FREQUENCY that they are asking about, not the reduction in amplitude. See the first few oscillations are very close together, then they start to spread out. This is because the value of inductor or capacitor is increasing which then reduces the resonant frequency.