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AP Calculus BC Study Guide UPDATED Exam Questions and CORRECT Answers

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1/(1−x) 1/(1+x) e^x sin(x) cos(x) ln(1+x) tan^-1(x) Converges by nth term test when N/A Diverges by nth term test when lim an ≠ 0 n→∞ Converges by Geometric Series Test when |r| 1 Diverges by Geometric Series Test when |r| 1 Converges by p-series test when p 1 Diverges by p-series test when p ≤ 1 Converges by Ratio test when lim ( |an+1| / |an| ) 1 n→∞ Diverges by Ratio test when lim ( |an+1| / |an| ) 1 n→∞ Converges by Direct Comparison test when less than conv. Diverges by direct comparison test when greater than diver

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AP Calculus BC Study Guide UPDATED Exam
Questions and CORRECT Answers

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Terms in this set (276)




1/(1−x)




1/(1+x)




e^x




sin(x)




cos(x)




ln(1+x)

, tan^-1(x)



Converges by nth term N/A
test when

Diverges by nth term lim an ≠ 0
test when n→∞

Converges by |r| < 1
Geometric Series Test
when

Diverges by Geometric |r| > 1
Series Test when

Converges by p-series p>1
test when

Diverges by p-series p≤1
test when

Converges by Ratio test lim ( |an+1| / |an| ) < 1
when n→∞

Diverges by Ratio test lim ( |an+1| / |an| ) > 1
when n→∞

Converges by Direct less than conv.
Comparison test when

Diverges by direct greater than diver.
comparison test when

Converges by limit lim ( |bn| / |an|) = +# & bn converges
comparison when n→∞

Diverges by limit lim ( |bn| / |an| ) = +# & bn diverges
comparison when n→∞

Converges by lim an = 0 & an+1 < an
Alternating series test n→∞
when

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