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RSS订阅原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-8)
文章目录Taylor and Maclaurin SeriesSeries RepresentationsTaylor and Maclaurin SeriesTaylor series are considered one of the most important topics of this chapter.Series Representations
2020-08-01 16:45:25
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原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-7)
文章目录Power SeriesPower Series and ConvergencePower SeriesPower Series and ConvergenceDEFINITIONSA power series about x=0x=0x=0 is a series of the form∑n=0∞cnxn=c0+c1x+c2x2+⋯+cnxn+… .(1)\sum\limits_{n=0}^\infin c_nx^n=c_0+c_1x+c_2x^2+\dots+c_nx^n+\dots
2020-07-23 16:40:54
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原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-6 & Summary of Test）
文章目录Alternating Series, Absolute and Conditional ConvergenceAlternating SeriesAlternating Series, Absolute and Conditional ConvergenceAlternating SeriesA series in which the terms are alternately positive and negative is an alternating series and the nn
2020-07-18 17:05:18
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原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-3, 10-4 & 10-5）
文章目录The Integral TestNondecreasing Partial SumsThe Integral TestError EstimationComparison TestsThe Limit Comparison TestThe Ratio and Root TestsThe Ratio TestThe Root TestIn these three sections, we study series with nonnegative terms.The Integral Test
2020-07-17 17:22:30
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原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-2）
文章目录10-2 Infinite Series 无穷级数Geometric SeriesThe nth-Term Test for a Divergent SeriesCombining SeriesAdding or Deleting Terms*Reindexing*10-2 Infinite Series 无穷级数An infinite series is the sum of an infinite sequence of numbers a1+a2+a3+⋯+an+…a_1+a_2+a_3+
2020-07-16 17:01:57
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原创 THOMAS’ CALCULUS 学习笔记（Chapter 10-1）
托马斯微积分第10章第1节——数列Representing SequencesConvergence and DivergenceCalculating Limits of SequencesUsing L’Hôpital’s RuleCommonly Occurring LimitsRecursive DefinitionsBounded Monotonic Sequences
2020-07-15 19:24:51
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