I don't know why you find this so difficult to understand.I suppose what matters is the resistance value connected between terminals 7 and 6 of the 555 timer IC. Now I have set this value to zero. 7 and 6 are shorted which inturn shorts it to pin 2 of the IC. So will the frequency of the wave be at its maximum or what will be the outcome.
The capacitor charges through R2+R3 and discharges through R3. On time is determined by the charging time (to 2/3 VCC) and off time is determined by the discharging time (to 1/3 VCC). If you set R3 to 0, discharge time will be determined by the discharge transistor (which is current limited).