Question

Resolver passo a passo sem L´Hôpital:

 

$<var>\lim_{x \to \ 3} (x-3)cosec(\pi x)</var>$

Answer 1

$<var>[tex]\lim_{x \to \ 3} (x-3)cosec(\pi x)\\lim_{x \to \ 3} (x-3)/sen(\pi x)\\(3-3)/sen(\pi x) \\0/sen(\pi x) =0\\sen(\pi x)\neq0$[/tex]