Find an example to each of the following: a) Sequences {Xn} and {Yn} such that they are both divergent and {Xn+Yn} to 5 b) An open interval such that it contains exactly one integer and two rational numbers in the form (odd integer)/2 c)An infinite unbounded set that contains no interval. d) A one-to-one correspondence from (0,2) to (-8,-7)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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Find an example to each of the following:
a) Sequences {Xn} and {Yn} such that they are both
divergent and {Xn+Yn} to 5
b) An open interval such that it contains exactly one
integer and two rational numbers in the form (odd
integer)/2
c)An infinite unbounded set that contains no interval.
d) A one-to-one correspondence from (0,2) to (-8,-7)
Transcribed Image Text:Find an example to each of the following: a) Sequences {Xn} and {Yn} such that they are both divergent and {Xn+Yn} to 5 b) An open interval such that it contains exactly one integer and two rational numbers in the form (odd integer)/2 c)An infinite unbounded set that contains no interval. d) A one-to-one correspondence from (0,2) to (-8,-7)
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