Question

1)calcule o limite das funções.
Lim= 9-x/3-raiz de x
x->9

Answer 1

$\displaystyle \lim_{x\to 9}\frac{9-x}{3-\sqrt{x}}\implies  \lim_{x\to 9}\frac{9-x}{3-\sqrt{x}}.\frac{3+\sqrt{x}}{3+\sqrt{x}}\implies \lim_{x\to 9}\frac{(9-x)(3+\sqrt{x})}{(9-x)}\\\\\lim_{x\to 9}\frac{(3+\sqrt{x})}{1}\implies\lim_{x\to9}3+\sqrt{x}=3+\sqrt{9}=3+3= 6$