Most e-ink devices can last 2-4 weeks on a single charge with regular usage, and most rechargable lithium ion batteries can undergo at least a few hundred charge cycles before their capacity lowers significantly (even then, still about 80% of the original maximum).
In other words, with a healthy battery to start with, it should be many, many years before it should actually need to be replaced, so you'll probably need or want to replace your e-reader for other reasons before the battery becomes an issue.
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