Suppose sigma ∞ to n=1 of (an) converges absolutely. Define (pn) = max(0, (an)) and (qn) = min(0, (an)).
Then both sigma ∞ to n=1 of (pn) and sigma ∞ to n=1 of (qn) converge.

No Solution

Step-by-step explanation:

The steps are in the (2) pictures below.

its a, i had the same answer, its from study island right

step-by-step explanation:

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true