Questions from General Calculus

Q: Determine whether the series is absolutely convergent. ∑∞n=

Determine whether the series is absolutely convergent. ∑∞n=0 (-10)n/n!

Q: Determine whether the series is absolutely convergent. ∑∞n=

Determine whether the series is absolutely convergent. ∑∞n=1 (-1)n-1 √n/n + 1

Q: Determine whether the series is absolutely convergent. ∑∞n=

Determine whether the series is absolutely convergent. ∑∞n=1 (-1)n-1/√n

Q: Determine whether the series is absolutely convergent. ∑∞n=

Determine whether the series is absolutely convergent. ∑∞n=1 (-1)n arctan n/n2

Q: Determine whether the series is absolutely convergent. ∑∞n=

Determine whether the series is absolutely convergent. ∑∞n=1 (-2)n n!/(2n)!

Q: Determine whether the series is absolutely convergent. 1 – 1

Determine whether the series is absolutely convergent. 1 – 1 ∙3/3! + 1∙3∙5/5! - 1∙2∙5∙7/7!+ …+ (-1)n-1 1∙3∙5∙∙∙∙(2n – 1)/(2n – 1)!+ ∙∙∙

Q: Determine whether the series is absolutely convergent. 2/5

Determine whether the series is absolutely convergent. 2/5 + 2 ∙ 6/5 ∙ 8 + 2 ∙ 6 ∙ 10/5 ∙ 8 ∙ 11 + 2 ∙ 6 ∙ 10 ∙ 14/5 ∙ 8 ∙ 11 ∙ 14 + ∙∙∙

Q: What can you say about the series ∑an in each of

What can you say about the series ∑an in each of the following cases?

Q: If ∑∞n=0 cn4n is convergent, does it follow

If ∑∞n=0 cn4n is convergent, does it follow that the following series are convergent?

Q: The terms of a series are defined recursively by the equations Determine

The terms of a series are defined recursively by the equations Determine whether ∑an converges or diverges.