# Calc 2 (Test 4)

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valleystudent84's
version from
2016-10-26 21:14

## Section

Question | Answer |
---|---|

Recursive Sequences are | Sequencs where you must use the PREVIOUS result to find out the next one |

If a Seq is becoming larger numbers it is Heading towards _ and _ | ∞ _ Diverging |

If a seq is becoming a smaller number it is heading towards a _ and it is _ | lim _ Converging |

Thm 9.1 (seq vs f(x)) | If a sequence matches a f(x) then the function result is = to the seq result |

What is a Partial series and what do they tell us about a series | PS is a finite amount of an ∞ series and it can tell you what an infinite series of doing (converging or diverging) |

Thm 9.2 (all as n-> ∞) PROPERTIES of lim of seq | 1. a(n) + b(n) = L+k _ 2. C*a(n) = C*L _ 3. a(n)*b(n) = L*K _ 4. a(n)/b(n) = L/K |

What is 5! written out and = | 5*4*3*2*1=120 |

Thm 9.3 (Squeeze Thm) | If a top and bottom seq are heading to a lim then so is anything inbetween |

If a is Monotonic and bounded then it is | Convergent |

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