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Cálculo de limite envolvendo função do segundo grau com delta < 0
Como calculo o lim(t->1)(t²+t+2)/t²-1?
Tentei encontrar as raízes de t²+t+2, porém delta < 0, ou seja, não há raízes para a equação.
Sei que t²-1 = (t+1)(t-1), porém de nada adianta saber disso se eu não tiver a forma fatorada da equação do numerador, eu acho.
Por favor, tirem minha dúvida, pois o gabarito tem como resposta 3/2.. Mas creio que só daria 3/2 se c=-2 e não a 2.
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