I have two core switches and my customer required the core switch to provide dhcp. Should I configure the dhcp pool on both switches to provide redundancy.
Can someone post an example of this configuration for dhcp pool on both core
If the DHCP pool is for a vlan that is directly connected then no you don't. Only if the switch is a DHCP server for clients that are more than 1 hop away would you need an ip helper-address.
"If the pool on the first core is used up, will the clients get there ip address from the second core switch?"
Should do because each switch will see a DHCP request from the client, providing your core switches are connected via a L2 link that includes that vlan.