Camera lens no bigger than 300mm as low f number as possible?

[Judobreaker]

sorry guys i meant a long range lens, that is good in low light and can take photo's quickly meaning a shutter speed but can focus fairly quick i have a cannon by the way. cheers so far

shutter speed does not depend on lens. "Long range" for you means zoom or fixed? (still, the point is 300$ is the minimum or so, except for Derrel suggestion).

If you have a faster lens you can use a faster shutter speed to get the same exposure if you open up the aperture.
You'll lose some DoF but you can use a faster shutter speed.
It's not in the lens, but the lens has quite a lot of impact on it.

 

[gsgary]

The only len i can think of is the Sigma 100-300f4 or 120-300f2.8 and both are out of your price range