Questions from General Calculus

Q: It is important to distinguish between and What name is given to

It is important to distinguish between and What name is given to the first series? To the second? For what values of does the first series converge? For what values of does the second series converge?...

Q: Use the Integral Test to determine whether the series is convergent or

Use the Integral Test to determine whether the series is convergent or divergent.

Q: Use the Integral Test to determine whether the series is convergent or

Use the Integral Test to determine whether the series is convergent or divergent.

Q: Use the Integral Test to determine whether the series is convergent or

Use the Integral Test to determine whether the series is convergent or divergent.

Q: Use the Comparison Test to determine whether the series is convergent or

Use the Comparison Test to determine whether the series is convergent or divergent.

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

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

Q: Is the 50th partial sum s50 of the alternating series ∑∞n

Is the 50th partial sum s50 of the alternating series ∑∞n=1(-1)n-1/n an overestimate or an underestimate of the total sum? Explain.

Q: Calculate the first 10 partial sums of the series and graph both

Calculate the first 10 partial sums of the series and graph both the sequence of terms and the sequence of partial sums on the same screen. Estimate the error in using the 10th partial sum to approxim...

Q: For what values of p is the following series convergent?

For what values of p is the following series convergent?