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