How to collateralize property?

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Ok so say Ive got a few nice income producing rentals that are owned by my LLC... How do I go to the banks and get additional funding for more property acquisition by collateralizing the existing properties? Ive heard of stories where an investor gets capped at a certain amount of properties they can finance. That to me is BS- if they can keep finding deals and they want to keep expanding they should be allowed to have an infinite amount... is there a trick to purchasing under an LLC vs going in as a person so you'll be able to get approved for much more funding?