![]() ![]() If the series of absolute values diverges, then the original series may or may not converge if it converges it is said to be conditionally convergent. If the series of the absolute values of the terms of a series converges, then the original series is said to absolutely convergent (or converges absolutely). Understand absolute and conditional convergence.and the posts “What Convergence Test Should I use?” Part 1 and Part 2 For a summary of the tests click: Convergence test chart. The test to be used is rarely given so students need to know when to use each of the common tests. Use the various convergence tests to determine if a series converges.The general form of a Taylor series is if a = 0, the series is called a Maclaurin series. They may do this by substituting into a series, differentiating it or integrating it. They may do this by finding the derivatives and constructing the coefficients from them, or they may produce the series by manipulating a known or given series. Students should be familiar with and able to write several terms and the general term of a Taylor or Maclaurin series. Click here for a convergence test chart students should be familiar with this list is also on the resource page. The Ratio test is used most often to determine the radius of convergence and the other tests to determine the exact interval of convergence by checking the convergence at the end points. In the multiple-choice section, students may be asked to say if a sequence or series converges or which of several series converge. With about 8 multiple-choice questions and a full free-response question this is one of the largest topics on the BC exams.Ĭonvergence tests for series appear on both sections of the BC Calculus exam. Questions about the convergence of sequences may appear as multiple-choice questions. The topics may appear in other free-response questions and in multiple-choice questions. ![]() The question usually asks students to write a Taylor or Maclaurin series and to answer questions about it and its interval of convergence, or about a related series found by differentiating or integrating. The last BC question on the exams usually concerns sequences and series. ![]()
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