Question:

Determine whether the following series converges. Justify your answer. (-20) k! k=1 È Select the correct choice below and fill i

Determine whether the following series converges. Justify your answer.
(-20)
k!
k=1
È
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
O A. The series is a geometric series with common ratio , so the series converges by the properties of a geometric series.
OB. The Root Test yields p= so the series diverges by the Root Test.
OC. The Ratio Test yields r= so the series converges by the Ratio Test.
OD. The limit of the terms of the series is so the series diverges by the Divergence Test.
O E. The Ratio Test yields r= so the series diverges by the Ratio Test.
OF. The series is a geometric series with common ratio , so the series diverges by the properties of a geometric series.

Determine whether the following series converges. Justify your answer. (-20) k! k=1 È Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio , so the series converges by the properties of a geometric series. OB. The Root Test yields p= so the series diverges by the Root Test. OC. The Ratio Test yields r= so the series converges by the Ratio Test. OD. The limit of the terms of the series is so the series diverges by the Divergence Test. O E. The Ratio Test yields r= so the series diverges by the Ratio Test. OF. The series is a geometric series with common ratio , so the series diverges by the properties of a geometric series.

Answer

Let
ak
(620)
TKI!
.
rop = lim
aktl
ak
Kao
1
= lim 1620)kt
KI
KAN
(KH)!* (-20)
Elim
()
(-20)
KO
14+1
so =10
21.
Ar
) @ v ✓ convergent.

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