**How do you find the limit of xlnx as x->0^-? | Socratic**
https://socratic.org/questions/how-do-you-find-the-limit-of-xlnx-as-x-0

Jun 28, 2017 · lim x→0+ xlnx = lim x→0+ lnx 1 x = lim x→0+ − 1 x 1 x2 = lim x→0+ −x = 0. You could probably figure out other ways to evaluate this limit, maybe using the squeeze theorem with upper bound x2 and something else for your lower bound, but L'Hopital's rule is …

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