Question

lim t²-2t+3/2t²+5t-3 t->+infinito

ME AJUDEMM!!!

Answer 1

$\lim_{t \to \infty} \frac{t^2-2t+3}{2t^2+5t-3}= \lim_{t \to \infty} \frac{t^2-2t+3}{2t^2+5t-3}\times\frac{\frac{1}{t^2}}{\frac{1}{t^2}}= \lim_{t \to \infty} \frac{1-\frac{2}{t}+\frac{3}{t^2}}{2+\frac{5}{t}-\frac{3}{t^2}}=$ $\frac{1-\frac{2}{\infty}+\frac{3}{\infty}}{2+\frac{5}{\infty}-\frac{3}{\infty}}=\frac{1-0+0}{2+0-0}=\boxed{\frac12}$