What is meant by "No limiting action remains there"? MN 99 In the discourse on the four Divine Abodes, what is meant by "... no limiting action remains there, none persists there."


  Here a bhikkhu abides pervading one quarter with a mind imbued with
  benevolence, likewise the second, likewise the third, likewise the
  fourth; so above, below, around, and everywhere, and to all as to
  himself, he abides pervading the all-encompassing world with a mind
  imbued with benevolence, abundant, exalted, immeasurable, without
  hostility, and without ill will. When the deliverance of mind by
  benevolence is developed in this way, no limiting action remains
  there, none persists there....


http://obo.genaud.net/dhammatalk/bd_dhammatalk/dhamma_talk/subhasutta.htm

MN 99
I am not sure but i think it is something like this from MN 43:


  "The immeasurable awareness-release, the nothingness awareness-release, the emptiness 
  awareness-release, the theme-less-awareness-release: There is a way of
  explanation by which these qualities are different in meaning &amp;
  different in name, and there is a way of explanation by which these
  qualities are one in meaning and different only in name.
  
  "And what is the way of explanation by which these qualities are
  different in meaning &amp; different in name? There is the case where a
  monk keeps pervading the first direction[4] — as well as the second
  direction, the third, &amp; the fourth — with an awareness imbued with
  good will. Thus he keeps pervading above, below, &amp; all around,
  everywhere &amp; in every respect the all-encompassing world with an
  awareness imbued with good will: abundant, expansive, immeasurable,
  free from hostility, free from ill will.
  
  "He keeps pervading the first direction — as well as the second
  direction, the third, &amp; the fourth — with an awareness imbued with
  compassion ... an awareness imbued with appreciation...
  
  "He keeps pervading the first direction — as well as the second
  direction, the third, &amp; the fourth — with an awareness imbued with
  equanimity. Thus he keeps pervading above, below, &amp; all around,
  everywhere &amp; in every respect the all-encompassing world with an
  awareness imbued with equanimity: abundant, expansive, immeasurable,
  free from hostility, free from ill will.
  
  "This is called the immeasurable awareness-release.
  
  "And what is the nothingness awareness-release? There is the case
  where a monk, with the complete transcending of the dimension of the
  infinitude of consciousness, [perceiving,] 'There is nothing,' enters
  &amp; remains in the dimension of nothingness. This is called the
  nothingness awareness-release.
  
  "And what is the emptiness awareness-release? There is the case where
  a monk, having gone into the wilderness, to the root of a tree, or
  into an empty dwelling, considers this: 'This is empty of self or of
  anything pertaining to self.'[5] This is called the emptiness
  awareness-release.
  
  "And what is the theme-less awareness-release? There is the case where
  a monk, through not attending to all themes, enters &amp; remains in the
  theme-less concentration of awareness.[6] This is called the
  theme-less awareness-release.
  
  "This is the way of explaining by which these qualities are different
  in meaning &amp; different in name.
  
  "And what is the way of explaining whereby these qualities are one in
  meaning and different only in name?
  
  "Passion, friend, is a making of limits. Aversion is a making of
  limits. Delusion is a making of limits. In a monk whose fermentations
  are ended, these have been abandoned, their root destroyed, made like
  a palmyra stump, deprived of the conditions of development, not
  destined for future arising. Now, to the extent that there is
  immeasurable awareness-release, the unprovoked awareness-release is
  declared the foremost. And this unprovoked awareness-release is empty
  of passion, empty of aversion, empty of delusion.
  
  *"Passion is a something. Aversion is a something. Delusion is a something. In a 
  monk whose fermentations are ended, these have been abandoned, their
  root destroyed, made like a palmyra stump, deprived of the conditions
  of development, not destined for future arising. Now, to the extent
  that there is nothingness awareness-release, the unprovoked
  awareness-release is declared the foremost. And this unprovoked
  awareness-release is empty of passion, empty of aversion, empty of
  delusion.
  
  "Passion is a making of themes. Aversion is a making of themes.
  Delusion is a making of themes. In a monk whose fermentations are
  ended, these have been abandoned, their root destroyed, made like a
  palmyra stump, deprived of the conditions of development, not destined
  for future arising. Now, to the extent that there is theme-less
  awareness-release, the unprovoked awareness-release is declared the
  foremost. And this unprovoked awareness-release is empty of passion,
  empty of aversion, empty of delusion.
  
  "This, friend, is the way of explaining whereby these qualities are
  one in meaning and different only in name."*


Therefore i would guess that when it is said;
"When the deliverance of mind by loving kindness is developed in this way, no limting action remain there, none persists there"
It means that a mind established in the pervading everywhere &amp; in every respect the all-encompassing world with an awareness imbued with good will etc does not give rise to mental, verbal and bodily deeds which would be limiting one's potential for the unprovoked awareness-release which is declared as the superior to the measureless release.


  Now, to the extent that there is immeasurable awareness-release, the unprovoked awareness-release is declared the foremost. And this unprovoked awareness-release is empty of passion, empty of aversion, empty of delusion.