m 1 Question: Consider the series 2 (E + It). t=I (a) 1Write the series in exlanded notation. [b]: Find the sum 3 .m of its rst 100 terms, and thert nd an exact formula for the Nth partial sum. 310:- = Exact Formula: (c) Use the exact formula to detennine if the series converges or diverges directly from the limit denition, without using any tests of convergencefdiveregence. If it converges, nd the value it converges to. Math [53 Challenge 2 L0 6-8 Attempt 2 LG 1'. Seriu Tests [CORE]. I can determine convergence or divergence of a series by select ing an appropriate convergence test and applying it. Criteria for Success: I can a select and apply an appropriate convergence test: nthterm (divergence), geometric series, integral, comparison. limit comparison, pseries, alternating series, ratio, root, or absolute convergence - distinguish between an absolutely convergent, conditionally convergent, or divergent series. Question: Clearly state the name of the convergenceg'divergence tests you're using. and check It 3t2+5 '5 that their conditions are satised. The series 2E1? k=l (a) absolutely convergent [b]: conditionally convergent (c) divergent