THEOREM 12.3.7 THE LIMIT COMPARISON THEOREM Letak and bк be series with positive terms. If ak/bk positive, then → L, and L is Σακ converges iff ΣΟΚ converges. THEOREM 12.3.6 THE BASIC COMPARISON THEOREM Suppose that a and b are series with nonnegative terms and Σακς Σοκ bk for all k sufficiently large. (i) If bk converges, then Σ a converges (ii) If a diverges, then by diverges.

THEOREM 12.3.7 THE LIMIT COMPARISON THEOREM Letak and bк be series with positive terms. If ak/bk positive, then → L, and L is Σακ converges iff ΣΟΚ converges. THEOREM 12.3.6 THE BASIC COMPARISON THEOREM Suppose that a and b are series with nonnegative terms and Σακς Σοκ bk for all k sufficiently large. (i) If bk converges, then Σ a converges (ii) If a diverges, then by diverges.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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