Question

Помогите пожалуйста

Answer 1

$lim_{x to 1} frac{ sqrt{x} -1}{ {x}^{2} - 1} = \ = lim_{x to 1} frac{ sqrt{x} -1}{ ({x} - 1)(x + 1)} = \ = lim_{x to 1} frac{( sqrt{x} - 1)}{ ( sqrt{x} + 1)( sqrt{x} - 1)(x + 1)} = \ = lim_{x to 1} frac{ 1}{ ( sqrt{x} + 1)(x + 1)} = \ = frac{1}{ (sqrt{1} + 1)(1 + 1)} = frac{1}{4}$