Questions from General Calculus

Q: Test the series for convergence or divergence. ∑∞n=

Test the series for convergence or divergence. ∑∞n=1 (-1)n-1 / ln (n + 4)

Q: Test the series for convergence or divergence. ∑∞n=

Test the series for convergence or divergence. ∑∞n=1 (-1)n-1 / 2n + 1

Q: Test the series for convergence or divergence. ∑∞n=

Test the series for convergence or divergence. ∑∞n=1 (-1)n+1 n/n2 + 9

Q: Draw a picture to show that What can you conclude about the

Draw a picture to show that What can you conclude about the series?

Q: Suppose f is a continuous positive decreasing function for x > 1

Suppose f is a continuous positive decreasing function for x > 1 and an = f (n). By drawing a picture, rank the following three quantities in increasing order:

Q: Test the series for convergence or divergence. 4/7

Test the series for convergence or divergence. 4/7 – 4/8 + 4/9 – 4/10 + 4/11 - ….

Q: Test the series for convergence or divergence. -3/

Test the series for convergence or divergence. -3/4 + 5/5 – 7/6 + 9/7 – 11/8 + …

Q: Test the series for convergence or divergence. ∑∞n=

Test the series for convergence or divergence. ∑∞n=1 (-1)n-1 / 2n + 1

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: Suppose that ∑∞n=0 cnxn converges when x = -

Suppose that ∑∞n=0 cnxn converges when x = -4 and diverges when x= 6. What can be said about the convergence or divergence of the following series?