Hi,
You can check the maximum connection limit depending on the hardware/model used from the following document.
http://www.cisco.com/c/dam/en/us/products/collateral/security/asa-5500-series-next-generation-firewalls/prod_brochure0900aecd80285492.pdf
On the ASA CLI you can check the current connection amount on the firewall with the command
show conn count
You should also be able to see the devices current connections and the maximum limit with the command
show resource usage summary
or
show resource usage resource conns
Please do remember to mark an answer as the correct reply if it answered your question. Feel free to ask more if needed.
Hope this helps :)
- Jouni
