(a) What is an alternating series? An alternating series is a ---Select--- (b) Under what conditions does an alternating series converge? An alternating series Σ n = 1 whose terms are -Select--- = a, (-1)n-1b, where b = lal, converges if 0 < b + 1 ≤ b for all n, and_lim_b₁ = n 818 n = 1 (c) If these conditions are satisfied, what can you say about the remainder after n terms? The error involved in using the partial sum s as an approximation to the total sum s is the ---Select--- R₁ =s - Sn and the size of the error is ---Select--- +1.

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