Answer:
Character vs. Self.
Step-by-step explanation:
A conflict is when a character's development or success is obstructed by some force, sidetracking the character. In other words, a conflict is when an obstacle poses a threat to the development or success of the character.
In the given excerpt from Robert Louis Stevenson's "The Strange Case of Dr. Jekyll and Mr. Hyde", Dr. Jekyll asked his friend and lawyer Mr. Utterson to "help [Hyde] for my sake, when I am no longer here." And although Mr. Utterson dislikes Mr. Hyde, he decided to 'comply' with his friend's request, with "an irrepressible sigh." This is a conflict of the character and his self. The conflict is within the character of Mr. Utterson only, an inner conflict.
Thus, the correct answer is character vs. self.