can I stream Apple TV series and movies on my smart TV?

Possibly, depending on the exact model TV and optional streaming devices.

All the ways to watch in the Apple TV app - Apple Support

Watch on your TV

• Apple TV box (4K, HD, and 3rd generation) ﹥

• Smart TVs ﹥

• Gaming consoles ﹥

• Streaming devices ﹥

List of Apple TV app-supported smart TVs and third party streaming devices - Apple

Good Question When I first Downloaded the APPLE TV APP I HAD No problem loading APPLE TV But Now However I am No Longer Able To Open The APP on My Smart TV