Question

limite de x tendendo a 6, x+6 / x²-36

Answer 1

$\large\boxed{\begin{array}{l}\displaystyle\sf\lim_{x \to 6}\,\,\dfrac{x+6}{x^2-36}\\\\\displaystyle\sf\lim_{x \to 6}\,\,\dfrac{\diagup\!\!\!\!(x+\diagup\!\!\!\!6)}{\diagup\!\!\!\!(x+\diagup\!\!\!\!6)\cdot(x-6)}\\\\\displaystyle\sf\lim_{x \to 6}\,\,\dfrac{1}{x-6}=\dfrac{1}{0}=\infty\end{array}}$