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converges

converges

diverges

converges conditionally

diverges

diverges

converges

diverges

converges conditionally

converges

converges

diverges

converges to ln(1/2)

diverges

absolutely converges

absolutely converges

converges absolutely

converges conditionally

converges for p > 1

II and IV are true

27/4

1/7

pi/6

1/2

(-1)^k 1/(2^(k+1)) x^(2k+1)

(-1)^k 1/((2k+1)5^(2k+1)) x^(2k+1)
