Final answer:
According to Apollodorus' Library and other sources, Herakles must complete labors for Eurystheus as punishment for his actions. These labors serve as a way for him to atone for his madness-induced murder of his family.
Step-by-step explanation:
According to Apollodorus' Library and other primary sources, Herakles must complete labors for his cousin Eurystheus as a punishment for his madness-induced murder of his family. These labors were set up by the gods as a way for Herakles to atone for his actions. One example of a labor Herakles had to complete was killing and skinning the Nemean lion. The completion of these labors was necessary for Herakles to regain his honor and achieve redemption.