Infotainment is a combo word, like "fantabulous," that combines two words into one. It refers to television shows, movies, websites, and software that blend information and entertainment together. For example, shows on the Food Network and Animal Planet provide information to the viewer, but are also fun to watch. Certain news broadcasts can also be considered infotainment, since they strive to be as entertaining as they are informational.
Websites like Yahoo.com and CNET.com also have content that is both informational and entertaining. Software titles such as Grolier Encyclopedia and Encyclopedia Britannica serve primarily to inform, but are also geared to be entertaining, so they can be considered infotainment. While there is a blurry line between basic information and infotainment, if informational media makes an intentional effort to entertain, you can call it infotainment.