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Integral Calculus

Course: Integral Calculus > Unit 5

Lesson 4: Integral test

Integral test

AP.CALC: LIM‑7 (EU), LIM‑7.A (LO), LIM‑7.A.6 (EK)

sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, start fraction, 2, divided by, 1, plus, n, squared, end fraction

When applying the integral test, we get a limit that determines whether the series converges or diverges.

What is this limit?

(Choice A)
limit, start subscript, b, \to, infinity, end subscript, open bracket, 2, tangent, start superscript, minus, 1, end superscript, left parenthesis, b, right parenthesis, minus, start fraction, pi, divided by, 2, end fraction, close bracket
(Choice B)
limit, start subscript, b, \to, infinity, end subscript, 2, natural log, left parenthesis, 1, plus, b, squared, right parenthesis
(Choice C)
limit, start subscript, b, \to, infinity, end subscript, start fraction, 2, divided by, 1, plus, b, squared, end fraction
(Choice D)
limit, start subscript, b, \to, infinity, end subscript, open bracket, start fraction, 6, b, divided by, 3, b, plus, b, cubed, end fraction, minus, start fraction, 3, divided by, 2, end fraction, close bracket

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Integral Calculus

Course: Integral Calculus > Unit 5

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