Question

Решите срочно Пожалуйста

Answer 1

$limlimits _{x to 0}frac{sqrt7, x}{sqrt{7-x}-sqrt{7+x}}=limlimits _{x to 0}frac{sqrt7, xcdot (sqrt{7-x}+sqrt{7+x})}{(7-x)-(7+x)}=limlimits _{x to 0}frac{sqrt7, xcdot (sqrt{7-x}+sqrt{7+x})}{-2x}=\\=frac{sqrt7(sqrt7+sqrt7)}{-2}=-frac{sqrt7cdot 2sqrt7}{2}=-7$