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NDA2017MathematicsLimitsActual

Consider the following statements: 1. If _ x a f( x ) and _ x a g ( x ) both exist, then _ x a f( x ) g ( x ) exists. 2. If _ x a f(x) g(x) exists, then both _ x a f(x) and _ x a g(x) must exist. Which of the above statements is correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

If _ x a f(x) and _ x a g(x) both exists, then _ x a f(x) g(x) exists. But if _ x a f(x) g(x) exists, then it is not necesary that both _ x a f(x) and _ x a g(x) exists.

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