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AP® Calculus AB-BC

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P-series Test for Convergence

APCALC-DEJG6J

What are all the values of $p$ for which the following converges?

$$\int _{ 1 }^{ \infty }{ \frac { 1 }{ { x }^{ 6p } } } dx $$

A

$p>\cfrac { 1 }{ 6 } $

B

$p>6$

C

$p>0$

D

$p<\cfrac { 1 }{ 6 } $