Решение задачи #75273
Limx->1 x^2-1/x^2+x-2
x2 + x - 2 = 0
D = 1 + 8 = 9
x1 = (-1 + 3):2 = 1
x2 = (-1 - 3):2 = -2
x2 + x - 2 = (x - 1)(x + 2)
| lim x->1 | x2 - 1 x2 + x - 2 | = | lim x->1 | (x-1)(x+1) (x+2)(x-1) | = |
| = | lim x->1 | x+1 x+2 | = | 2 3 |
x2 + x - 2 = 0
D = 1 + 8 = 9
x1 = (-1 + 3):2 = 1
x2 = (-1 - 3):2 = -2
x2 + x - 2 = (x - 1)(x + 2)
| lim x->1 | x2 - 1 x2 + x - 2 | = | lim x->1 | (x-1)(x+1) (x+2)(x-1) | = |
| = | lim x->1 | x+1 x+2 | = | 2 3 |