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Hello,
At this time no specific limit on the number of connections has the set for the managed MongoDB. The db.serverStatus().connections returns a document that reports the status of connections on the cluster.
It will depend on how much memory your machines have.
Once we have certain number fixed, we will ensure to update the Product docs:
https://docs.digitalocean.com/products/databases/mongodb/
Hope this helps!
Cheers, Sri Charan