We have learned that the series 2:021 % is divergent. But what happens when we ip every second sign? OO (_1)n+1 1 1 1 l 1 2. =1+a+'"+"' (2) n=1 Look up the test for convergence of alternating series in Boas Sec 1.7. Then use it to determine which of the following alternating series are convergent. (a) $154)" (b) 22:0 "13" (c) 2:2 313% (d) A convergent alternating series Zn on said to be absolutely convergent when En lan| is also convergent. If it is not absolutely convergent, it is said to be conditionally convergent. Which of the above series (a)-(c) are absolute / conditionally convergent? (e) Look up (or use WolframAlpha, Mathematica, or ChatGPT or similar) to nd out what the values of the alternating sums are. Write it down and cite your resources. (For (c), I don't know the exact value, but you can compute it numerically with Python or similar.)