If you purchased it from brand new and the screen was not broken due to being hit etc and just broke you can take it back for replacement free of charge, If it has been damaged by being hit etc unfortunately you will have to pay for it to be fixed or replaced. They have ways of telling if it was due to a faulty device or if it was done through miss use as they destroy quite a number of these before release as to get as much data for there device on what tell tale signs are of being hit, dropped, kicked etc. I should know I used to work for a similar company and was a product tester and also had the chance to destroy a few devices to gather the data the company needed for the exact same reasons as stated above.
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If you purchased it from brand new and the screen was not broken due to being hit etc and just broke you can take it back for replacement free of charge, If it has been damaged by being hit etc unfortunately you will have to pay for it to be fixed or replaced. They have ways of telling if it was due to a faulty device or if it was done through miss use as they destroy quite a number of these before release as to get as much data for there device on what tell tale signs are of being hit, dropped, kicked etc. I should know I used to work for a similar company and was a product tester and also had the chance to destroy a few devices to gather the data the company needed for the exact same reasons as stated above.