Suppose the series an converges to a number S. Let_R=S-Sn. n=1 Determine the truth of the following statement and give a reason why your answer is correct: |R₂|≤ lan+11. True. Rn=an+1 for any series. O False. Rn= ∞ ∞ ak, so this bound is never valid. k=n+1 False. This bound is only guaranteed to work if the series is alternating. True. Since the series converges we know_lim_ an=0 so the largest contribution is given by an+1. n-8

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