Root Test

This calculus 2 video tutorial provides a basic introduction into the root test. If the limit of the nth root of the absolute value of the sequence as n goes to infinity is less than 1, the series converges. If it's greater than 1, the series diverges. If it's equal to 1, the root test is inconclusive. Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 _________________________________ Integral Test for Divergence: https://www.youtube.com/watch?v=f9SJz4-UaQQ Remainder Estimate - Integral Test: https://www.youtube.com/watch?v=vaU5DDcTfZk P-Series: https://www.youtube.com/watch?v=x621rtIwb_4 Direct Comparison Test: https://www.youtube.com/watch?v=oZtAgihok5s Limit Comparison Test: https://www.youtube.com/watch?v=LBxYQ0TJxYM _________________________________ Alternating Series Test: https://www.youtube.com/watch?v=DRO1kPT4iS8 Alternate Series Estimation Theorem: https://www.youtube.com/watch?v=FkUrAgBzAZo Absolute & Conditional Convergence: https://www.youtube.com/watch?v=FPK6LO1iiXc The Ratio Test: https://www.youtube.com/watch?v=kkfILYpkJS8 The Root Test: https://www.youtube.com/watch?v=ahf0eXOll1M __________________________________ Series Tests - Practice Problems: https://www.youtube.com/watch?v=0YeON4p0ogw Taylor & Maclaurin Polynomials: https://www.youtube.com/watch?v=urPIxvNBXF0 Taylor's Remainder Theorem: https://www.youtube.com/watch?v=lY0LzJXTgeo Power Series - Interval Convergence: https://www.youtube.com/watch?v=EGni2-m5yxM Power Series - Derivatives & Integrals: https://www.youtube.com/watch?v=nD6hai32ykQ ___________________________________ Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections