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Calculus, all content (2017 edition)

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

Lesson 9: Comparison tests

Limit comparison test

AP.CALC: LIM‑7 (EU), LIM‑7.A (LO), LIM‑7.A.9 (EK)

S, equals, sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, space, start fraction, 2, n, plus, 5, divided by, left parenthesis, n, minus, 3, right parenthesis, left parenthesis, n, minus, 2, right parenthesis, end fraction

What series should we use in the limit comparison test in order to determine whether S converges?

(Choice A)
sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, space, start fraction, 1, divided by, n, end fraction
(Choice B)
sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, space, start fraction, 1, divided by, n, squared, end fraction
(Choice C)
sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, space, start fraction, 1, divided by, n, cubed, end fraction

Based on your answer, does S converge or diverge?

Stuck?

Calculus, all content (2017 edition)

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

Problem