AP Calculus BCmediummcq1 pt

By the integral test, Σ 1/n² behaves like the integral

A.∫₁^∞ x⁻² dx, which converges
B.∫₁^∞ x⁻¹ dx, which diverges
C.∫₁^∞ x dx, which diverges
D.a finite sum

Explanation

Core Concept

The integral converges, so the series converges.

Correct Answer

A∫₁^∞ x⁻² dx, which converges

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