Karteikarten
Analysis 1
Karten in diesem Stapel (33)
- 1Prove every subsequence of a bounded sequence is also bounded1
- 2Prove if (an) is decreasing then (an) is bounded above2
- 3Prove if (an) --> infinity and bn>an, then (bn) --> infinity (Comparison Test)3
- 4Prove if (an) --> -infinity then (1/an) tends to 0.4
- 5Prove Bernoulli's Inequality5
- 6Prove that (1/sqrt(n)) --> 0.6
- 7Prove if (an)--> infinity then (1/an) tends to 0.7
- 8Prove if (an)--> zero iff (|an|) --> 0.8
- 9Prove the constant multiple rule for convergent sequences. [(an)--> a and C is in the reals then (Can)--> Ca.]9
- 10Prove the sum rule for convergent sequences. [(an)-->a and (bn)-->b that (an+bn)-->a+b.]1
- 11Prove that (1/n)-->0.1
- 12Prove the product rule. [(an)-->a, (bn)-->b then (anbn)-->ab]1
- 13Prove the sandwich theorem.1
- 14Prove the shift theorem.1
- 15Def: Increasing sequence1
- 16Def: Monotonic sequence1
- 17Def: Bounded above1
- 18Def: Upper bound1
- 19Def: Bounded sequence1
- 20Def: Tends to infinityDef:
- 21Def: ConvergenceDef:
- 22Def: DivergenceDef:
- 23Def: Tends to 0Def:
- 24Def: Rational numberDef:
- 25Def: Countably infiniteDef: Def:
- 26Def: SupremumDef:
- 27Def: InfimumDef:
- 28Def: Cauchy sequenceDef:
- 29Def: nth partial sumDef:
- 30Def: Convergence (series)Def: Def:
- 31Def: Tends to infinity (series)Def:
- 32Def: Conditionally convergentDef:
- 33Def: Absolute convergenceDef:
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- Karteikarten am Analysis 1, erstellt von tom.tomtom1 am 06/01/2016.
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- tom.tomtom1
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