Final answer:
The Arcuate fasciculus is the bundle of nerve fibers that connects Broca's area and Wernicke's area, essential for language function.
Step-by-step explanation:
The territory that provides a connection between Broca's area and Wernicke's area via a bundle of nerve fibers is the Arcuate fasciculus. This white matter tract runs deep within the brain connecting the posterior part of the temporal lobe, where Wernicke's area is located, to the frontal lobe, where Broca's area sits. The Arcuate fasciculus is critical to language function, facilitating the transmission from language comprehension in Wernicke's area to speech production in Broca's area.