Zoom Lens for Nikon D5100?

Brice
I use a D5100 to film with and really need a cheap telephoto lens to film with (anywhere up to 300mm). I know very little about lenses, especially their mounts, so could someone recommend a lens compatible with the D5100 the has a good focal range for under £200?

Birju
You can get it here
Nikon 55-300mm f/4.5-5.6G ED VR AF-S DX Nikkor Zoom Lens for Nikon Digital SLR
http://www.amazon.com/...B003ZSHNCC
Nikon AF-S DX NIKKOR 55-300mm f/4.5-5.6G VR Lens
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