Hi, I'm going to give a few tips,
which Apple would ask you to try before sending/bringing it in for
service. While some of the below may seem unesscessary, I would suggest
you go through them, as they will eliminate possible causes of your
issue one by one.
If the following does not work for you, I would suggest you call
AppleCare. If you do have to call Apple, you'll be able to tell them
this list of things you've tried and speed up the process of support.
You will want to print this off to use with your macbook while it's off.
Unplug the power adapter from the electrical outlet and from the MacBook
or MacBook Pro. Wait one minute. Plug it back into the wall first, then
to the MacBook or MacBook Pro. Make sure the electrical outlet is
working by plugging in another device (such as a lamp). When you plug
the adapter back into the computer, the power adapter LEDs should light
up green or amber.
Inspect the MagSafe port on the computer for debris, such as metal stuck
to the magnet in the port, which might prevent the connector from
seating properly.
On the adapter side, look at the DC connector for dust or other debris
and check whether pins are missing, bent or stuck down. If you find any
of these to be true, see article 303240 for instructions on
cleaning the adapter.
Disconnect any devices connected to the computer including printers,
hubs, and third-party keyboards or mice, and test the computer again by
trying to turn it on.
Press the control key, the command key, and the power button
simultaneously and hold for three seconds to try to restart the
computer.
Reset the PRAM.
Reset the
Power Manager.
If the computer is on, turn it off.
Disconnect the AC Adapter and remove the computer's battery.
Press and hold down the power button for 5 seconds and then release the button.
Reconnect the battery and AC Adapter.
Press the Power button to restart the computer.
If you recently installed additional memory, make sure it is correctly
installed and is compatible with your computer. Remove the new memory to
see if the computer starts up properly without it.