The correct answer is: A. doubles the amount of a capacitive reactance.
Capacitive reactance is inversely proportional to frequency. This means that if the frequency doubles, the capacitive reactance doubles.
Option B is incorrect because doubling the frequency would increase the capacitive reactance, not have no effect on it.
Option C is incorrect because doubling the frequency would increase the capacitive reactance, not cut it in half.
Option D is incorrect because doubling the frequency would increase the capacitive reactance by a factor of 2, not 6.28.
Option E is incorrect because doubling the frequency does have an effect on the capacitive reactance.