?Let and be series with positive terms. Is each of the following statements true or

Chapter 10, Problem 55

(choose chapter or problem)

Let  and  be series with positive terms. Is each of the following statements true or false? If the statement is false, give an example that disproves the statement.
(a) If
 and  are divergent, then  is divergent.
(b) If
 converges and  diverges, then  diverges.
(c) If
 and  are convergent, then  is convergent.

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