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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x+y) = f(x)f(y) x, y R , f(0) 0 . If f(x) is continuous at x = 0 , then f(x) is continuous at :

Options

  1. Aall natural numbers only
  2. Ball integers only
  3. Call rational numbers only
  4. Dall real numbers

Correct answer

D. all real numbers

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