Why my samsung tv model un40es6100f power light is blinking for about 5 times?

These blinks [flashes] are fault indication (Error Codes). From the number of blinks occur at one time switch ON, you can get an idea about the faulty circuit section inside it. This will make repair easy. These are called blinking codes. Make sure about the exact number of blinking of the standby/power LED, by switching On & OFF the set, for at least two times. Count it carefully. If you wish to get some details, check the site linked here. It has details about blinking codes, and fault locating procedure, to many popular brand TVs and other devices.
http://electro-medical.blogspot.com/
http://electronicshelponline.blogspot.com/
If blinks continue without any pause, the main board is faulty.
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You will need to have it repaired, looks like the inverter board is broken. Google Samsung tv blinks 5 times, there's tons of threads.

Samsung told me this was a common problem and I would have to have it serviced by an authorized repair facility.
My problem ended up being the internal power supply, but they also told me the main boards burn up.

These blinks of LEDs are fault indications. If you wish to get more details about these blinking codes, check this link. The details are there. It is very difficult to include all those details in tables here by this window.

The vertical output section should be checked for the fault. Check this site for more details.

5 blinks to Samsung indicates a fault in the main power supply output voltage.

Blinking lights are usually an error code. Do you have a manual that will decode the number of blinks? Its not always the power supply.

After about 5 years the Samsung LCD televisions backlight fails which prevents the TV from coming on and the powerlight just flickers the backlight can be changed but it is often alot easier and cheaper to buy a new Television