Identify each series as being convergent or divergent. If is convergent, compute its sum. If it is divergent, explain how you know.
1.
)
&*(
16 3 9 2
&'(
Diverges: đ?‘&#x; ≼ 1
2.
12 48 192 −3 + − + −⋯ 5 25 125
Convergent, because đ?‘&#x; = − Sum: đ?‘† =
'7 ('
8 ' 9
=
'5 7
4 5
3.
)
;*(
7 1 − 6 4
;'(
Convergent, because đ?‘&#x; = Sum: đ?‘† =
< = >? (' 8
=
(4 (5
'( 4
4.
)
B*(
𝜋 𝑒
B
Divergent:
C 7
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