Will apple replace battery in the limited warranty time

A lot depends on what the symptoms are. Your best option may be to take it to an Apple Store and let them look at it:

Genius Bar Reservation and Apple Support Options - Apple

Yes , if your battery health is under 80 or it's Show Service in Limited warranty time .

aromal192 Said:

"Will apple replace iPhone battery in the limited warranty period."

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Perhaps. If Terms & Conditions are met. But, that's Apple's call.