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9.11 (a) Show that if lim sn = +oo and inf{tn: n = N} > -∞, then lim(sn+tn) = +0. == (b) Show that if lim s₁ = +oo and lim tn > -∞, then lim(sn+tn) = +oo. (c) Show that if lim sn = +oo and if (tn) is a bounded sequence, then lim(sn+tn) +∞. =

9.11 (a) Show that if lim sn = +oo and inf{tn: n = N} > -∞, then lim(sn+tn) = +0. == (b) Show that if lim s₁ = +oo and lim tn > -∞, then lim(sn+tn) = +oo. (c) Show that if lim sn = +oo and if (tn) is a bounded sequence, then lim(sn+tn) +∞. =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 76E
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9.11 (a) Show that if lim sn = +oo and inf{tn: n = N} > -∞, then lim(sn+tn) = +0. == (b) Show that if lim s₁ = +oo and lim tn > -∞, then lim(sn+tn) = +oo. (c) Show that if lim sn = +oo and if (tn) is a bounded sequence, then lim(sn+tn) +∞. =
Transcribed Image Text:9.11 (a) Show that if lim sn = +oo and inf{tn: n = N} > -∞, then lim(sn+tn) = +0. == (b) Show that if lim s₁ = +oo and lim tn > -∞, then lim(sn+tn) = +oo. (c) Show that if lim sn = +oo and if (tn) is a bounded sequence, then lim(sn+tn) +∞. =
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