(a) What does it mean for a series to be absolutely convergent? dn is absolutely convergent if an diverges and la diverges. Σan is absolutely convergent if Σan converges and Σ'ant converges. an is absolutely convergent if an converges but Σlan diverges. Σan is absolutely convergent if Σ an diverges but Σ'ant converges. (b) What does it mean for a series to be conditionally convergent? an is absolutely convergent if a diverges and la diverges. San is conditionally convergent if Σan converges but Σ'ant diverges. a is absolutely convergent if an diverges butlan converges. an is conditionally convergent ifa, converges and la converges. (c) If the series of positive terms b converges, then what can you say about the series n = 1 O (-1)"b is absolutely convergent. n = 1 O (-1)"b, converges, but more information is needed to determine if it is absolutely or conditionally convergent. n = 1 O (-1)"b, is conditionally convergent. n = 1 More information is needed to determine if n = 1 n = 1 (-1)"b, converges or diverges. (-1)"b?

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