Question

1) Find the interval of convergence I of the series. (Enter your answer using interval notation.)

∞

7ⁿ (x + 5)ⁿ

n

n = 1

2) Find the radius of convergence, R, of the following series.

∞	n!(7x − 1)n
n = 1

3) Suppose that the radius of convergence of the power series

	cn xn is R.

What is the radius of convergence of the power series

	cn x5n

?

4) Find the radius of convergence, R, of the series. Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)

∞	(−1)n  xn 10n ln n
n = 2

5)Find the radius of convergence, R, of the series. Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)

∞

(−3)ⁿ

n

n

xⁿ

n = 1

Find the radius of convergence, R, of the series. Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)

∞	n 5n  (x + 3)n
n = 1

Answer 1