Is there connection limit for Custom Social Extension

I am designing a solution surrounding Custom Social Extension (Connect Apps to Generic OAuth2 Authorization Servers) in which I intend to programmatically create custom social connection for each new customer.

While there is a limit of 50 database connections, is there any limit on custom social connections?

Technically there is no hard limit on the number of social connections and even the limit you mentioned about database connections is applicable only per client and it’s not a limit to 50 database connections in one single tenant/domain. Having said that you should also check the pricing page as social connections are restricted in number depending on subscription.