Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing function. Which of the following statements are always true? LIH E, converges, then lim a,- 0. IL. E,- L., then lim a, -L. III. H lim a, - 0, then E converges. IV. lim Sy - L then , - L. V. rada - L, then . -L. A) III and IV. C B) II, III, IV. C) I and IV. D) III, IV, V. Allof them

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