# Sequence Limit

Find the limit of a Sequence at infinity : `lim_(n -> +oo) a_n`

## How to use this calculator ?

Follow the same guidelines as in this calculator Sequence value.

## Examples

- Find the limit of `a_n = (4*n)/sqrt(n+1)` at infinity ?

Réponse : +oo

- Calculate `lim_(n -> +oo)(4*n^2+3*n-1)/(n^2+1)`

Answer : 4

- Calculate `a_n` limit at infinity with `a_n = log(n)/n`

Answer : 0

## Limit determinate forms

We note:p (as

**p**ositive) a non-zero positive real number,

n (as

**n**egative) a non-zero negative real number,

q (a non-zero number with undeterminated sign),

`+oo`, positive infinity,

`-oo`, nagative infinity,

`oo`, infinity (with undefined sign).

**Determinate forms: addition and subtraction**

`+oo+oo = +oo` | `-oo-oo = -oo` |

`q + (+oo) = +oo` | `q + (-oo) = -oo` |

**Determinate forms: multiplication and division**

`+oo. +oo = +oo` | `-oo. -oo = +oo` |

`p. (+oo) = +oo` | `n. (+oo) = -oo` |

`p. (-oo) = -oo` | `n. (-oo) = +oo` |

`(+oo)/p = +oo` | `(+oo)/n = -oo` |

`(-oo)/p = -oo` | `(-oo)/n = +oo` |

`q/oo = 0` | `0/oo = 0` |

**Determinate forms with power operator**

`0^(+oo) = 0` | `0^(-oo) = oo` |

## Limit indeterminate forms

`0/0` |

`oo/oo` |

`+oo - oo` |

`oo/oo` |

`0. oo` |

`0^0` |

`oo^0` |

`1^oo` |

## See also

Sequence Value given index

Sequence Calculators

Math Calculators