8.5. Ratio Test, Root Test, and Summary of Tests http://www.ck12.org
MEDIA
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URL: http://www.ck12.org/flx/render/embeddedobject/616; Just Math Tutoring, Alternate Series Test (7:18).
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URL: http://www.ck12.org/flx/render/embeddedobject/617Exercises
- For what values ofpis the series∑∞n= (^2) n(ln^1 n)pconvergent?
Test the following series for convergence or divergence:
2.∑∞n= 1 sin^21 n
3.∑∞n= 1 (−^1 )n−^1
√n
n+ 1
4.∑∞n= 1 (n
√
5 − n√
3 )n
5.∑∞n= 1 (n
√
5 − n√
3 )
- For what values ofcis the series∑∞n= 12 n^3 +ncnconvergent?