Shift indicator light comes on and the car will not shift higher than 2nd gear.

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First starting in the morning, the shift indicator light does not come on, but after driving awhile, if I turn off the engine and restart the engine, the light comes on and will not go out and the auto-transmission will not shift past 2nd gear. If the car sits at work, when I leave for home the light stays out unless I have to stop and turn off the engine for something, then the light stays on. I can only drive about 30/35 mls. What can cause this problem?