Answer for I just got Grande high speed 200mbs internet service. I have a Belkin N600 router. Will this support my new high speed service?

According to my research, the Belkin N600 only has 100 Mbps Ethernet ports, so it will not provide the full 200 Mbps bandwidth. You will need to get a new router with gigabit Ethernet ports. I generally recommend something like the Linksys EA3500 if you have no preference.