Osserva le due funzioni; considera il loro limite per x che tende a 0, potrai notare che ambedue tendono a zero. Ma la prima tende a zero più rapidamente della seconda. In questo caso il limite del rapporto, per x che tende a 0, sarà uguale a zero.[br][code][/code][br][size=150][b][color=#ff0000]si dirà che f(x) è di ordine superiore a g(x) [/color][/b][/size][br][img]data:image/png;base64,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[/img]