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3 . Use the Integral Test to determine whether the series are convergent or divergent. ( Note that the hypotheses of the Integral Test hold

3. Use the Integral Test to determine whether the series are convergent or divergent. (Note that
the hypotheses of the Integral Test hold for x in [2, ) for (a) and x in [1, ) for (b). You do
not need to show this.)
(a)
X
n=1
n2
n3+1
(b)
X
n=1
nen
(Hint: You will need LHopitals Rule on one of these problems.)

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