Find the supremums of the following sets [1 :by proving your results .Si = {a < x < b; x E R} (a %3D .S2 = {a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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( 65 ) X
12:03
20
Ass. Quiz1
:Answer the following questions
Find the supremums of the following sets [1
:by proving your results
.Si = {a < x < b; x E R} (a
.S2 = {a < x < b; x E R} (b
.S3 = {a <x < b; x € R} (c
.S4 = {a < æ < b; x E R} (d
Show that the sequence (xn) = (-) [2
.convergence
Prove that the sequence (xn) = (–1)"+! [3
.does not converge to any real number
Compute the following limits, using the [4
.(xn) → 0 Algebraic Limit Theorem,where
1+2xn
(a
1+2xn -3x3
lim
(2, +1)* –5
lim
(b
En +2
(c
2
+4
.lim
Transcribed Image Text:( 65 ) X 12:03 20 Ass. Quiz1 :Answer the following questions Find the supremums of the following sets [1 :by proving your results .Si = {a < x < b; x E R} (a .S2 = {a < x < b; x E R} (b .S3 = {a <x < b; x € R} (c .S4 = {a < æ < b; x E R} (d Show that the sequence (xn) = (-) [2 .convergence Prove that the sequence (xn) = (–1)"+! [3 .does not converge to any real number Compute the following limits, using the [4 .(xn) → 0 Algebraic Limit Theorem,where 1+2xn (a 1+2xn -3x3 lim (2, +1)* –5 lim (b En +2 (c 2 +4 .lim
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