Questions from General Calculus

Q: Determine whether the series is convergent or divergent. If it is

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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

Determine whether the series is convergent or divergent. ∑∞n=1 2 + (-1)n n √n

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

Determine whether the series is convergent or divergent. ∑∞n=0 1 + sin n/10n

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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

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

Q: List the first six terms of the sequence defined by an =

List the first six terms of the sequence defined by an = n/2n + 1 Does the sequence appear to have a limit? If so, find it.

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

Determine whether the series is convergent or divergent. ∑∞n=1 n2 – 5n/n3 + n + 1

Q: Find the values of p for which the following series is convergent

Find the values of p for which the following series is convergent.

Q: (a). Find the partial sum s10 of the series∑∞

(a). Find the partial sum s10 of the series∑∞n-1 1/n4. Estimate the error in using s10 as an approximation to the sum of the series. (b). Use (4) with n = 10 to give an improved estimate of the sum. (...

Q: (a). Use the sum of the first 10 terms to

(a). Use the sum of the first 10 terms to estimate the sum of the series∑∞n=1 1/n2. How good is this estimate? (b). Improve this estimate using (4) with n = 10. (c). Find a value of that will ensure t...