________________________________________________________________________________
Calculus II Quiz
#10 May
9, 2003
Name____________________ R. Hammack Score
______
________________________________________________________________________________
Decide if the following series converge or diverge. Use any applicable test.
(1)
Notice that ,
and is
a convergent geometric series.
Thus, the given series converges by
the comparison test.
(2)
Using the ratio test, ,
so the series converges.
(3)
Notice that ,
and is
a convergent geometric series.
Thus, the given series converges by
the comparison test.
(4)
Using the ratio test for absolute convergence,
Thus, the series converges absolutely, so it converges.