2.If am, bm, and Cm satisfy the inequalities0 am ≤ cm ≤ bm,for all m, what can we say about the series(A): Σ ams (B): Σm=1m=1if we know that the series(c): Σm=1Cmbmis divergent but know nothing else about amand bm?1. (A) diverges, (B) converges2. (A) diverges, (B) need not diverge3. (A) converges, (B) diverges4. (A) diverges, (B) diverges5. (A) need not diverge, (B) diverges6. (A) converges, (B) need not converge

Solution : Given that sequences

2. If am, bm, and Cm satisfy the inequalities 0 < am ≤ cm ≤ bm, for all m, what can we say about the series (A) : Σ amy (B) : m=1 if we know that the series ∞ (c): Σ cm m=1 m=1 bm is divergent but know nothing else about am and bm? O 1. (A) diverges, (B) converges 2. (A) diverges, (B) need not diverge 3. (A) converges, (B) diverges 4. (A) diverges, (B) diverges 5. (A) need not diverge, (B) diverges ○ 6. (A) converges, (B) need not converge

2. If am, bm, and Cm satisfy the inequalities 0 < am ≤ cm ≤ bm, for all m, what can we say about the series (A) : Σ amy (B) : m=1 if we know that the series ∞ (c): Σ cm m=1 m=1 bm is divergent but know nothing else about am and bm? O 1. (A) diverges, (B) converges 2. (A) diverges, (B) need not diverge 3. (A) converges, (B) diverges 4. (A) diverges, (B) diverges 5. (A) need not diverge, (B) diverges ○ 6. (A) converges, (B) need not converge

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 71E

See similar textbooks