# Derivative of ln(1+x)

Derivative |
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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 |