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6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison...

6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison Test to determine if each series is convergent or divergent.

7. Use Ratio Test to determine if series {an}= (n + 2)/(2n + 7) where n is in interval [0, ∞]

is convergent or divergent. Note: if the test is inconclusive, use n-th Term Test to answer the question.

8. Use Root Test to determine if series {an} = nn/3(1 + 2n) where n is in interval [1, ∞] is convergent or divergent.

9. Use Alternating Series Test to determine if series {an} = (– 1)n–1/n is convergent or divergent.


10. Find Derivative and Integral of series {an}= xn/n = x + x2/2 +x3/3 +…, where n is in interval [1, ∞].

Math   Calculus   
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