Suppose there exists No such that sn < tn for all n > No. (a) Prove that if lim sn +00, then lim tn (b) Prove that if lim tn then lim sn -0. (c) Prove that if lim sn and lim tn exist, then lim sn < lim tn.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Suppose there exists No such that sn S tn for all n > No.
(a) Prove that if lim sn
= +00, then lim tn
= +0.
(b) Prove that if lim tn = -∞, then lim sn = -0.
(c) Prove that if lim sn and lim tn exist, then lim sn < lim tn.
Transcribed Image Text:Suppose there exists No such that sn S tn for all n > No. (a) Prove that if lim sn = +00, then lim tn = +0. (b) Prove that if lim tn = -∞, then lim sn = -0. (c) Prove that if lim sn and lim tn exist, then lim sn < lim tn.
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