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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) +∞. =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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