I am beginner. Recently bought a second hand Tamron 70-300mm tele-macro lens (model 572D) for nikon d5200. Its manual says it has AF-MF switch, but there is no switch I can see on it except normal/macro switch. I have attached the picture of lens model so please help to get autofocus working on it.
To quote from the 572D manual:
Automatic Focusing (for Nikon/Minolta/Pentax AF SLR)
When the camera is on the autofocus mode, the lens focuses automatically.
Digging a little further, this thread confirms my suspicion that the Tamron lens doesn't have a built in focusing motor, but instead uses the screw drive motor which exists on higher-end Nikon bodies:
Google helped me find a forum note that the D3000 needs a version of the lens with a built-in motor
As such, this lens won't autofocus on your camera as the D3x00 / D5x00 series don't have the screw drive motor.