_ 10.4 The Integral Test for Convergence BC ONLY LEARNING OBJECTIVE Which Convergence Test Should I Use? Part 2 Making the best choice Which Convergence Test Should I Use? Part 1 You have a big choice Download and copy for your students (and yourself) However, teachers may include additional methods in the course, if time permits.īlog Posts Convergence Test List A summary of the tests. Other methods are not assessed on the exam. BC ONLYĮXCLUSION STATEMENT The nth term test for divergence, and the integral test, comparison test, limit comparison test, alternating series test, and ratio test for convergence are assessed on the AP Calculus BC Exam. LIM-7.A.5 The nth term test is a test for divergence of a series. _ 10.3 The n th Term Test for Divergence BC ONLY LEARNING OBJECTIVE LIM-7.A.4 If a is a real number and r is a real number such that | r| <1, then the geometric series BC ONLYīlog Posts Geometric Series – Far Out A very interesting and instructive mistake LIM-7.A.3 A geometric series is a series with a constant ratio between successive terms. _ 10.2 Working with Geometric Series BC ONLY LEARNING OBJECTIVE BC ONLYīlog Posts The Hindu-Arabic Series – the most import series.Įveryday series the most familiar series: NumbersĪ Lesson on Sequences Suitable for Algebra 1 or as an introduction to series in calculusĪmortization An important use of a (finite) series – Find you mortgage payment without calculus. LIM-7.A.2 An infinite series of numbers converges to a real number S (or has sum S), if and only if the limit of its sequence of partial sums exists and equals S. LIM-7.A.1 The nth partial sum is defined as the sum of the first n terms of a series. LIM-7.A Determine whether a series converges or diverges. LIM-7 Applying limits may allow us to determine the finite sum of infinitely many terms.ġ0.1 Defining Convergent and Divergent Infinite Series BC ONLY LEARNING OBJECTIVE
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