<p>Ohh thank you. No worries about the f(n)(x) thing, I knew what you meant. (:</p>
<p>The number of convergence/divergence tests overwhelms me. Sometimes I don’t know when to use which one. These tests I find pretty straightforward: geometric series, nth term, integral/p-series, and alternating series. </p>
<p>However, I don’t always know when to use these tests: ratio, direct comparison, and limit comparison. Are there general guidelines for using those 3 tests? Can the ratio test be used for testing any series (though other tests may be easier)?</p>
<p>Is the ratio test the only one that tests for absolute convergence directly in the formula?</p>
<p>Also, specifically about the AP test, will I have to know trig substitution? The AP outline (<a href=“College Board - SAT, AP, College Search and Admission Tools”>College Board - SAT, AP, College Search and Admission Tools) doesn’t mention it, but it’s mentioned in the syllabus which my teacher gave me to work from.</p>