If a set of routers response to change in state of network slowly, then their routing table must be?

If a set of routers respond to changes in the state of the network slowly, then their routing tables are likely to be dynamic.

Here's why:

1. Routers use routing tables to determine where to send packets of data on a network. These tables can be either static or dynamic.

2. Static routing tables are manually configured by a network administrator. They do not change unless the administrator changes them. This means they cannot adapt to changes in the network state without human intervention.

3. Dynamic routing tables, on the other hand, are automatically updated by routing protocols. These protocols monitor the state of the network and adjust the routing tables as needed. This allows them to adapt to changes in the network state.

4. If the routers are responding slowly to changes in the network state, it suggests that they are using dynamic routing tables. The delay could be due to the time it takes for the routing protocols to detect the change in the network state, update the routing tables, and propagate the changes to all routers in the network.