Use the Integral Test to determine whether the series is convergent or divergent. ∑n=1∞nn2+1
Use the Integral Test to determine whether the series is convergent or divergent.
Answer & Explanation
Beginner2021-11-13Added 15 answers
is decrasing since the degree of the denominator is higher than the degree of the numerator. It is also positive and continuous for so we can use the Integral Test.
The integral diverges, so by the Integral Test, the series also diverges.
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