Question

If when the frequency growth, growth the resistance, why does the capacitor starts to provide current with higher frequency?

Answer 1

The capacitor does not "provide" current with higher frequency. Rather, it allows higher frequency to move through the capacitor more easily. This is because as more charge is moved across a capacitor, it becomes more difficult to move charge across and vice versa. You can think of adding air to an air tank that's already full.

Answer 2

Hello mate here is your answer.

Capacitive Reactance against Frequency. Capacitive reactance of a capacitor decreases as the frequency across its plates increases. ... Also as the frequency increases the current flowing into the capacitor increases in value because the rate of voltage change across its plates increases.

Hope it helps you.