2. Decide, using results covered so far in this chapter, which of the following series converge and...
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2. Decide, using results covered so far in this chapter, which of the following series converge and which diverge.
00 k2 00 k'
(a) Lk·
(b) L 2~·
(c) {00; (k2k+ +1 3 r
(d) ~ (IT -~) k- 1.
k=l IT k=l 00 ( k' ) k2
(e) {; (k +·2)!
(f) ~ (3 + ~-l)k) k 00 (1 + (_l)k)k
(g) L ek .
k=l
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