The mathematical gangsters have spoken! The Taylor series might look fancy with its arbitrary center point c , but real ones know the Maclaurin series is just Taylor centered at zero. It's like showing up to a party with your complicated friend who insists on giving directions from some random landmark instead of just saying "start from downtown." Pure mathematicians spend hours proving they're different, while applied mathematicians just substitute c =0 and get on with their lives. Next time someone tries to impress you with Taylor series, just hit 'em with "cool story, but my homies reduce to Maclaurin."