Display Recent Posts in BuddyPress Profile

This is quite easy, because you can use author as a parameter with get_posts(). The following snippet retrieves the 5 latest posts by a specific user, whose ID you need to pass.

$author_ID = bp_displayed_user_id();
$author_posts = get_posts('author=".$author_ID."&posts_per_page=5' );

if($author_posts) {
   foreach ($author_posts as $author_post) {
      // do output like
      echo $author_post->post_title.'<br />'
   }
}