1. (a) Suppose that lim an = L. Tell in a complete sentence why lim an+1 = L.n-00(b) Suppose that lim an = 3. Is it necessarily true that lim "n+l = 1? Explain why it is true, orn-0 anwhy it is not necessarily true. (Hint: Does (4) in Section 9.3 apply?)(c) Suppose that lim an = 0 and lim b,n00= T. Prove that lim a,bn0.n-00n-00

Answered: Image /qna-images/answer/842d5461-b718-4a37-9626-1fa19d166067.jpg

1. (a) Suppose that lim an = L. Tell in a complete sentence why lim an+1 = L. n00 an+1 (b) Suppose that lim an = 3. Is it necessarily true that lim n0 an 1? Explain why it is true, or why it is not necessarily true. (Hint: Does (4) in Section 9.3 apply?) (c) Suppose that lim an = 0 and lim b, = T. Prove that lim a,b, = 0. %3D n-00 n+00

1. (a) Suppose that lim an = L. Tell in a complete sentence why lim an+1 = L. n00 an+1 (b) Suppose that lim an = 3. Is it necessarily true that lim n0 an 1? Explain why it is true, or why it is not necessarily true. (Hint: Does (4) in Section 9.3 apply?) (c) Suppose that lim an = 0 and lim b, = T. Prove that lim a,b, = 0. %3D n-00 n+00

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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