lim_(xrarr0)x^2/lnx=0 As xrarr0, x^2rarr0 as well. However, as xrarr0, we see that lnxrarr-oo. Thus, as xrarroo, we see that the numerator of x^2/lnx becomes smaller and smaller and the denominator becomes larger and larger (in magnitude). The limit, which can be seen as being in the “form” 0/oo, then approaches 0. graph{x^2/lnx [-2, 5, -11.8, 13.86]}
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