1/(x-1)
Input |
---|
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) |
Derivative |
d/dx(1/(x – 1)) = -1/(x – 1)^2 |
Indefinite integral |
integral 1/(-1 + x) dx = log(x – 1) + constant |
Limit |
lim_(x-> ± infinity) 1/(-1 + x) = 0 |