Derivative of ln(1-x)
| Derivative |
|---|
| d/dx(log(1 – x)) = 1/(x – 1) |
| Roots |
| (no roots exist) |
| Series expansion at x=0 |
| -1 – x – x^2 – x^3 – x^4 + O(x^5) (Taylor series) |
| Series expansion at x=∞ |
| 1/x + (1/x)^2 + (1/x)^3 + (1/x)^4 + O((1/x)^5) (Laurent series) |
| Indefinite integral |
| integral 1/(-1 + x) dx = log(x – 1) + constant |
| Limit |
| lim_(x-> ± infinity) 1/(-1 + x) = 0 |