ing pro the universal set is the set of positive integers N+. The number x > 0 € R is an unspecified constant. Justify each of your conclusions with a proof or a counterexample. (a) -3n (4n = rn) (b) 3n (n/3 = -32) (c) Vn (2" > n²) (d) 3n (x+3)" =Lo 2')

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ISBN:9780470458365
Author:Erwin Kreyszig
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Decide whether or not the following propositions are true or false, where in each case
the universal set is the set of positive integers N+. The number x > 0 € R is an unspecified
constant. Justify each of your conclusions with a proof or a counterexample.
(a) -3n (4n = n)
(b) 3n (n/3 = -32)
(c) Vn (2" > n?)
(d) 3n ((x +3)" = L-o H"-2')
%3D
Transcribed Image Text:Decide whether or not the following propositions are true or false, where in each case the universal set is the set of positive integers N+. The number x > 0 € R is an unspecified constant. Justify each of your conclusions with a proof or a counterexample. (a) -3n (4n = n) (b) 3n (n/3 = -32) (c) Vn (2" > n?) (d) 3n ((x +3)" = L-o H"-2') %3D
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