Question

Lim de quando t tende a 5/2


2t² -3t -5 / 2t -5

Answer 1

$\displaystyle \sf \lim_{x\to 5/2} \frac{2t^2-3t-5}{2t-5} \to \lim_{x\to 5/2} \frac{2t^2-5t+2t-5 }{2t-5} \\\\\\\\ \lim_{x\to 5/2}\frac{(2t-5)\cdot t + (2t-5) }{2t-5} \to \lim_{x\to 5/2} \frac{(2t-5)\cdot(t+1) }{2t-5} \\\\\\\\ \lim_{x\to 5/2} t+1 =\frac{5}{2}+1 = \frac{7}{2} \\\\\\\\ \boxed{\ \sf \lim_{x\to 5/2} \frac{2t^2-3t-5}{2t-5} = \frac{7}{2}\ } \checkmark$