We've had a rosemary plant in a pot by the window in the kitchen for several years. This fall the leaves started turning brown and after a while the plant was effectively dead.
We bought a replacement a few weeks ago and it's already going through exactly the same process.
We thought a fungus might have gotten the first plant so we used new dirt and a new pot, so the obvious routes of contamination were avoided.
Here's a link to a bad picture of the new plant, but maybe you can make something out: