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KVPY2013MathematicsLimits

Let f: R R be a function such that _ x f(x)=M>0 . Then which of the following is false?

Options

  1. A_ x x (1 / x) f(x)=M
  2. B_ x (f(x))= M
  3. C_ x x (e^ -x ) f(x)=M
  4. D_ x x x f(x)=0

Correct answer

C. _ x x (e^ -x ) f(x)=M

Step-by-step solution

_ x x (e^ -x ) f(x)= _ x (e^ -x ) e^ -x x e^ x f(x)=1 (0) M=0

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