Take off hesitation

SOURCE: car engine hesitates and loses power

You need to check distributor cap/wiring/spark plugs. when engine cold resistans at electric parts/connections is low. Then it warms up it increases and electric current goes down. Maybe you have bad connection somethere. Your car is equpped with digital motor electronics fuel (DME) injection. Here there is component location and diagnostic:
http://www.autozone.com/shopping/repairGuide.htm?pageId=0900c1528004a189
Also I would check fuel injectors itself (use injector cleaner), fuel filter (replace). If no help MAF sensor, trottle position sensor. There is good repair guide here:
http://www.autozone.com/shopping/repairGuide.htm
Please kindly let me know if this info was usefull for you or you need more info.
Good Luck

SOURCE: engine hesitation at start out

If the spark plugs have not been changed in a good while, it is time to do so. Also carbon buildup on the throttle blade can cause this issue. Use carburetor cleaner to clean it off. It should not take much to fix this. My Wife's BMW was doing the same thing. This took care of it. Her car has 72,000 miles on it.

SOURCE: The engine shut down while on stop and go traffic. Tried to restart but the throttle was weak and shut down again. After shutting everything down for 5 minutes, restarted the engine. The throttle w

If the car is having trouble maintaining idle (the tach dips and car dies) the common causes are the idle control valve and camshaft position sensors. The cam sensors failing will be indicated by a check engine light.

The ICV can removed and cleaned with good results (I think there is a write up on bimmerfest) or purchased new for about $100.

While you are in there check the intake boot that is Y shaped for cracks, it's prone to fail and will mess up your idle too.

read up on the major forums and you'll get more info

SOURCE: bmw 3.0 x5 hesitation problems

sound like throttle position sensor.have it check out.also check air duct connected to mass air flow sensor and throttle body.if air duct is loose or off.it will cause severe hesitation.

SOURCE: Car stops

Without looking at your car and by what you write. Sound like it's time for a tune-up