SOny Cybershot DSC P93A not turning on

I have a Sony Cybershot DSC P 93 camera. Yesterday, when i was taking pictures, it suddenly turned off. I tried reinserting the batteries. after 3-4 tries, Camera was on and it asked to set the date and time. Then after taking 2 snaps, it turned off as before. Now the power is not turining on. Any clues ? Is it the problem of battery wearing out ? Any idea ?

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