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Learn all about the definition of p-series, harmonic series, and how to determine their convergence or divergence with this AP Calculus 10.5 study guide!

Nth Term Test for Divergence The nth term test tests for divergence with the following condition: However, it only tests for divergence. It cannot prove convergence. Therefore,  Choose another test if this happens. This happens because if the terms don’t approach 0, the series will continue growing and growing (diverging).  Examples Worked Solutions Solution to a) A more

Absolute or Conditional Convergence Examples Worked Solutions Solution a) Solution b) Solution c) More Resources Flipped Math Flipped Math is an awesome resource with full packets, test prep, and corrective assignments for each lesson! Flipped Math Lesson 10.9 Math Libretexts Math LibreTexts is a free online resource packed with textbooks and learning materials for math

Ratio Test for Convergence The Ratio Test tests for absolute convergence. It is particularly useful for complicated-looking series with factorials or exponentials. Let’s dive in with the definition:  Recall: Examples Hint: b) is a challenge problem requiring knowledge about the limit definition of e.  Worked Solutions Solution a) Solution b) Solution c) More Resources Flipped

AP Calc 10.6 Comparison Tests for Divergence Note: I’ll be using an and bn to denote each series since I can’t do subscripts.  Direct Comparison Test The comparison test is a method to determine whether a series converges or diverges. The definition of the test is as follows:  In other words: If you have a convergent

Discover the foundational concepts of sequences and their convergence in this AP Calculus BC Unit 10.1 study guide. From arithmetic and geometric sequences to the divergence and convergence of series, master essential topics with clear explanations and practice exercises.

Easy-to-understand study guide for AP Calc 10.2 Working with Geometric Series! Quick summary of key content and practice questions.