A 2.4ghz simple colpitts oscillator circuit
2.4 Ghz is just too fast to work well in a discrete implementation. In a Colpitts circuit, the oscillator frequency is equal to the resonant frequency of the LC tank circuit, ie f=1/(2*pi*sqrt(LC). This means that even with the smallest available capacitor (1 pf), you would need an approximately 4nH inductor. This would be about the inductance of a 4mm length of wire- and that's before parasitic capacitances and inductances come into play. You'll probably need to look at an integrated solution like the MAX2753.