G10V4NN3 Escreveu:lim [raiz(t²+9)+3]/t
t -> 0
\(\lim_{ t \to 0 } \; \frac{ (\sqrt{t^2+9}-3)*(\sqrt{t^2+9}+3)}{t(\sqrt{t^2+9}+3)}\)
\(\lim_{ t \to 0 } \; \frac{ t^2+9-9}{t(\sqrt{t^2+9}+3)}\)
\(\lim_{ t \to 0 } \; \frac{ t^2}{t(\sqrt{t^2+9}+3)}\)
\(\lim_{ t \to 0 } \; \frac{ t}{\sqrt{t^2+9}+3}=0\)