# 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 |