Hasil dari Lim tersebut adalah

Hasil dari Lim tersebut adalah

$frac{1}{2x -2} - frac{1}{ {x}^{2} - 1 } \ \ = frac{1}{2(x - 1)} - frac{1}{(x - 1)(x + 1)} \ \ = frac{1(x + 1)}{2(x - 1)(x + 1)} - frac{1 times 2}{2(x - 1)(x + 2)} \ \ = frac{x + 1 - 2}{2(x - 1)(x + 1)} \ \ = frac{x - 1}{2(x - 1)(x + 1)} \ \ = frac{1}{2(x + 1)} \ \ = frac{1}{2x + 2} \ \ lim ( frac{1}{2x + 2} )\ x = 1 \ \ = frac{1}{2(1) + 2} \ \ = frac{1}{2 + 2} \ \ = frac{1}{4}$

JAWABAN : D