Verify failed SQL Server connections to instances on a given server and email them

I am trying to monitor the SQL Server instances on standalone server / cluster server. I would like to setup something from commandline to check for connectivity to each SQL Server instance on the server. Wherever it fails to connect to an instance I would like to have an email (we have smtp server setup) sent to our DBA team. Each server is having more than 5 instances and we are unable to track them without customer complaining about connectivity, hence trying to be proactive. Can we try something like osql or sqlcmd?