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Calculus, all content (2017 edition)

Course: Calculus, all content (2017 edition) > Unit 7

Lesson 8: Basic convergence tests

nth term divergence test
nth term test
Integral test
Worked example: Integral test
Integral test
Worked example: p-series
p-series
Proof of p-series convergence criteria

nth term test

AP.CALC: LIM‑7 (EU), LIM‑7.A (LO), LIM‑7.A.5 (EK)

sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, start fraction, left parenthesis, 2, n, minus, 3, right parenthesis, left parenthesis, n, start superscript, 8, end superscript, plus, 1, right parenthesis, squared, divided by, left parenthesis, 6, minus, 5, n, right parenthesis, squared, left parenthesis, 4, minus, 3, n, squared, right parenthesis, squared, end fraction

What conclusion can be reached by using the n, start superscript, start text, t, h, end text, end superscript term test on the series?

Stuck?

Calculus, all content (2017 edition)

Course: Calculus, all content (2017 edition) > Unit 7

Problem