Final answer:
The header of a network frame contains the TTL field, which indicates how many hops a packet can take before it is discarded.
Step-by-step explanation:
The part of a network frame that contains information on how many hops until the packet dies is known as the header. This field is specifically called the Time to Live (TTL) in Internet Protocol (IP) packets, which is a mechanism that limits the lifespan of data on the network. The TTL value is set in the header of IP packets and is decremented at each hop. When the TTL value reaches zero, the packet is discarded to prevent it from circulating indefinitely.