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Let S be the set of all functions f: Z C such that f(m+n)=f(m) f(n) for all m, n Z and f(0)=1 . Then

Options

  1. Athere exists f S such that f(-1)=0
  2. Bthere exists f S such that f(1)=2+3 i
  3. Cthere exists f S such that f(1)=0
  4. Df(1)=1 for every f in S

Correct answer

B. there exists f S such that f(1)=2+3 i

Step-by-step solution

No solution available.

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