5. Prove that each of the following series diverges. 00 1 (a) 2: cos k2 k=l...

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5. Prove that each of the following series diverges.

00 1

(a) 2: cos k2 ·

k=l 00 ( l)k

(b) {; 1- k 00 k + 1

(c) 2:k2.

k=l

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