Depending on which game type is selected, the host has the following respawn options when creating a multiplayer game:
Attack and Defend: 0-3 respawns
Team Deathmatch: 0-3 or UNLIMITED respawns
Deathmatch: 0-3 or UNLIMITED respawns
If you are on a server with a limited amount of respawns and would like to be able to have unlimited respawns, try joining another room that allows unlimited respawns or hosting a room yourself.
Ranked Matches (Xbox 360) have a set number of respawns allowed.
Total Conquest: Unlimited respawns
Deathmatch: 1 respawn
Team Deathmatch: 1
Team Leader: Unlimited respawns
Attack and Defend: 2 respawns