Questions from General Calculus

Q: Determine whether the series is convergent or divergent. ∑∞n

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

Q: Determine whether the series is convergent or divergent. ∑∞n

Determine whether the series is convergent or divergent. ∑∞n=1 cos 3n/1 + (1.2)n

Q: Determine whether the series is convergent or divergent. ∑∞n

Determine whether the series is convergent or divergent. ∑∞n=1 1 ∙ 3 ∙5 ∙ ∙∙∙ (2n – 1)/5nn!

Q: Determine whether the series is convergent or divergent. ∑∞n

Determine whether the series is convergent or divergent. ∑∞n=1 (-5)2n/n29n

Q: Find the sum of the series. ∑∞n=1

Find the sum of the series. ∑∞n=1 (-3)n-1/23n

Q: Find the sum of the series. ∑∞n=1

Find the sum of the series. ∑∞n=1 (-1)n πn/32n (2n)!

Q: Find the sum of the series. ∑∞n=1

Find the sum of the series. ∑∞n=1 [tan-1 (n + 1) – tan-1 n]

Q: Sketch the region in the plane consisting of points whose polar coordinates

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

Q: Find the sum of the series. 1 – e +

Find the sum of the series. 1 – e + e2/2! + e3/3! + e4/4! - …

Q: Express the repeating decimal as a 1.2345345345… fraction.

Express the repeating decimal as a 1.2345345345… fraction.