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Give a recursive definition of
a) the set of odd positive integers.
b) the set of positive integer powers of 3.
c) the set of polynomials with integer coefficients.
For example: 5x 3 − 2x 2 + 3 or 7x 4 − 8x 3 + x

Respuesta :

Answer:

a. for positive odd integers starting 1 and increaments by 2:

     ( first odd number ) + 2 ∈ S

b. for positive integer powers of 3 :

      3( integer ) ∈ S

c. for integer coefficient of the given polynomial :

      s. t ∈  S     ,      s - t ∈ S      and      s +  t  ∈  S

Step-by-step explanation:

the odd number starts with 1 and increases by two, and the set of that would range from 1 to infinity.

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