Biomedical literature, sequences and gene databases.
NCBI E-utilities API is a free Science & Math API that requires no API key, is served over HTTPS and supports CORS, so it can be called from the browser.

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Yes. The NCBI E-utilities API is listed in the Science & Math category of the public-apis directory, which only includes APIs that are free or have a free tier. Check its documentation for rate limits and paid plans.
No. The NCBI E-utilities API requires no authentication, so you can start making requests without signing up.
Yes. The NCBI E-utilities API supports CORS, so front-end JavaScript can call it directly.
Yes. The NCBI E-utilities API is served over HTTPS, so it's safe to use in production.