Question

Limite de x quando tende para 0= x^2-1÷x-1

Answer 1

Resolução da questão, veja:

$\mathtt{\displaystyle\lim_{x~\to~0}~\dfrac{x^{2}-1}{x-1}}}}~~\textsf{Por~substitui\c{c}\~ao~direta,~temos:}}}}\\\\\\\\\\ \mathtt{\displaystyle\lim_{x~\to~0}~\dfrac{0^{2}-1}{0-1}}\\\\\\\\\ \mathtt{\displaystyle\lim_{x~\to~0}~\dfrac{0-1}{-1}}\\\\\\\\\ \mathtt{\displaystyle\lim_{x~\to~0}~-(0-1)}}\\\\\\\\\\ \mathtt{\displaystyle\lim_{x~\to~0}~0+1}}}}}\\\\\\\\\\\ \Large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathbf{~\therefore~\displaystyle\lim_{x~\to~0}~\dfrac{x^{2}-1}{x-1}=1.}}}}}}}}}}}}}}}}}}}}}}}}}$

Espero que te ajude. '-'