The Root Test for Series

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Calculus: The Root Test for convergence of series checks the limit of the nth roots of the nth term of the sequence. This series test works best when the general term has exponent n. We test the examples (a) sum 2^n/n^n, (b) sum [n/ln(n)]^n, and (c) the general geometric series.

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  1. MathDoctorBob
  2. Mathematics
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  5. series
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Комментарии
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@MrDrizztDoUrden You're welcome, and thanks for the kind words! I try my best. - Bob

MathDoctorBob
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Thanks for your help! You're the best! Make it easy to understand and add much detail. I really appreciate it!

jacobhall
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Your welcome and good luck on exams! Glad to be of help.

MathDoctorBob
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I really like and appreciate your videos! They're a great help.

I'm confused how you converted a^(1/n) to become e^(ln IaI / n). Also, why was that preferred? Thank you for your time.

cluracan
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!! Is that pointer stick also used on students who don't properly say which test they used to identify convergence?

johnmark