The main benefit of RSS feeds is to keep users updated with your latest content should they not access your site directly.
From an SEO point, if you have activated the "pingback" feature, this will ensure that every site update will be notified to search engines & browser bots and specific blog/content submission sites. RSS feeds also provides additional internal links to a page hence providing more link juice and page authority. Make sure you don't have too many internal links on a page.
It is therefore important to be smart about RSS feed placement and making it compatible to access and read fpr all types of sites mentioned above.
This is why you'll notice people using Google's Feedburner, whereby you can have more control optimising the meta data per RSS feedback and automatically connecting social media accounts i.e. twitter or digg for automating content promotion.
Hope this helps,
Vahe