# Calculus 1 Test 2

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valleystudent84's
version from
2015-09-22 05:38

## Section

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

Continuous on a SPECIFIC PT if (3 things) | 1 Function avlue DOES exist at that pt, 2 Limit DOES exist, 3 Func Value = Lim value |

Continuous over an INTERVAL if ... | function on closed interval [A,B] than func IS continuous on (A,B) |

Continuous if Lim from left is _ to Lim from right | = |

Removable Discontinuity - Define | if only one POINT is discontinuous (must be same pt from both limits) |

Intermediate value theorem constraints (2) | 1 Function is CLOSED between [A,B] - 2 Func(a) NOT = to func(b) |

Polynomials are _ applicable to the IVT | ALWAYS (continuous over entire domain) |

"plug" a removable discontinuity by ... | Creating a piece wise func that fills in gap |

(Lim x-> 0) sinx/x = ? | 1 |

(Lim x-> 0) 1-cosx/x = ? | 0 |

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