Calculus 2 — 18.5: Approximating a Sum to a Set Accuracy

Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/calculus-2 You know a series converges but can't find its exact sum — that's fine. This video shows how to decide how many terms to add so your partial sum is guaranteed close enough for any accuracy you're handed, using the alternating series error bound in reverse. Key concepts covered: The error is bounded by the first omitted term Turning an accuracy requirement into a condition on n Solving inequalities with factorials by testing values Computing the partial sum that meets the target Watching the starting index when you count terms ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Calculus 2 Lecture 9.5:  Showing Convergen...