After Meursault arranged for his mother to live in a nursing home why did he visit her so infrequently?
Meursault is a nihilist. This means that he doesn't believe in anything, be it God, love, or country. It is not surprising, then, that he is so emotionally detached from everyone, including both his girlfriend and his mother. It's not so much that he hates his mother; he simply can't feel anything for her, so utterly indifferent is he to every other human being.
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Meursault's infrequent visits to see his mother show how little he has in common with others. He is alienated from other people, including his only family member. Simply put, there is no reason for his not visiting, but this lack of a reason permeates more than his relationships. From his perspective, to visit and not to visit may not seem so different. Meursault has few preferences and sees no reason for differentiating between things that might usually be considered obvious or common sense. This same absence of reason and indifference to social norms also make it impossible for Meursault to answer why he killed a man. The "best" answer might seem obvious to his lawyer, but like with the question of visiting his mother, Meursault is uninterested in attaching himself to any reasons. He is, instead, more focused on the awkwardness of the nursing home patients and the blinding light of the sun.