At higher frequencies a capacitor will no longer work as a capacitance.

It eventually functions as an inductance due to inductive impedance of the connecting wires having larger magnitude than the capacitance.

Additionally, the electrolyte will limit bandwidth due to lag, caused by dielectric relaxation.

The frequency limit will depend on the type of capacitor; high frequency types go to the GHz range, others do 100 kHz or less. At the lower limit you can think of a battery, which may have a cycling time of minutes or hours.

Typically, the decision RC vs. LC is not exactly based on a frequency limit. I've seen quite a number of RCs acting well in circuits beyond 50 MHz Clock.

It is more about the Q factor. Another topic is that RCs are typically used as low-passes whereas LCs are used as tank circuits. (At high frequencies low-passes can be realized via distributed capacitances and the inductance of the conductor itself.)

Thus you will find LC networks starting below 1 MHz and RC networks at least up to 100 MHz (my personal experience).

Regards

Thanks, Olof Dahlberg and U. Dreher for giving the answer to my question.

In my view, the basic limit of frequency should be based on time constant RC and Sqrt(LC).

Or anything less kindly comment on this.

See for example

Thank Josef,

I have seen the attachment but it is not clearing my doubt.

It's not about the passive components, only. The circuits which are formed through the combination of active and passive components are also having the limits due to RC and LC components.

Regards

Shubhankar