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Lithium batteries have two limits:
1. The number of charge cycles.
2. Increasing resistance of the cells with the passage of time.
For a high-current laptop battery, factor 1 will dominate and it's the number of charge cycles that'll determine the lifetime of the battery. For a low-power device like an eink reader, though, it's vanishingly unlikely to reach anything approaching its cycle limit before the battery dies of old age (which will typically occur in around 5-7 years).
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