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Black Book Advanced Problems in MathematicsMathematicsLimits

Let f : R R ; f(x) = cases (-1)^n if x = 1 2^n , & n = 1, 2, 3, 0 & otherwise cases then identify the correct statement(s).

Options

  1. A(a) _ x 0 f(x) = 0
  2. B(b) _ x 0 f(x) does not exist
  3. C(c) _ x 0 f(x)f(2x) = 0
  4. D(d) _ x 0 f(x)f(2x) does not exist

Correct answer

B. (b) _ x 0 f(x) does not exist

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