Consider the series [infinity]
∑ (-1)^n (x+1)^n/ (n+1)!
n=0

a. Find the series' radius and interval of convergence.
b. For what values of x does the series converge absolutely?
c. For what values of x does the series converge coditionally?

(a) If

then by the ratio test, the series converges for all x, since

so the series radius of convergence is ∞ and the interval of convergence is (-∞, ∞).

(b) The series converges everywhere absolutely, because the ratio test for

also shows the radius of convergence is ∞.

(c) The series converges absolutely, so conditional convergence is moot.

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation:

300

step-by-step explanation:

28-600w < 300

28-600w > 300

600-28w < 300

600-28w > 300