Is the Sigma 70-300mm lens compatible with the Nikon D5100?

I'm interested in purchasing more lenses for my Nikon D5100. On the website's description, it states "Designed for use with full frame digital SLR cameras. May also be used with smaller APS-c size sensors with a corresponding effective increase in focal length to about 100 to 450mm with most cameras." I know the D5100 is APS-c, so will the lens be compatible? Thanks.http://www.sigmaphoto.com/shop/70-300mm-f4-56-apo-dg-macromotorized-nikon

Yes, as long as it is for a Nikon F-mount, virtually all modern lenses designed for full frame cameras are 100% compatible with DX cameras.

http://www.althephoto.com/concepts/crop.php

Yes it is compatible Sigma 70-300mm f/4-5.6 SLD DG Macro Lens with built in motor for Nikon Digital SLR Cameras