Many signs point to Feedburner closing soon as it's not being actively maintained anymore. Although it hasn't closed yet, users have complained about delays in email deliveries, and also loss of subscribers.
Therefore it might be wise to switch now.
Feedblitz has been around for a while, and they are a solid Feedburner alternative if you're looking for a service which sends out your posts automatically to your subscribers (based on your RSS feed), in a similar way as Feedburner does.
Feedblitz charges for the RSS- and Email parts:
See a full overview in Feedblitz' pricing table.
Switching from Feedburner to Feedblitz is made easy with a Feedburner migration guide.
Source: Feedburner-alternatives.com and Feedblitz.com
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