Question

lima>2 a^3-2a^2+5a-10/6a-12

Answer 1

$\lim_{a \to \ 2} \frac{ a^{3}-2^{2}+5a-10 }{6a-12} = [ \frac{0}{0} ]$
$\lim_{a \to \ 2} \frac{(a-2)( a^{2}+5) }{6(a-2)}$
$\lim_{a \to \ 2} \frac{ a^{2} +5}{6} = \frac{2^{2}+5 }{6} \frac{4+5}{6} = \frac{9}{6} = \frac{3}{2}$