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NEST2015MathematicsFunctions

Let f(x)= x and g(x)=x-[x] , where [x] is the largest integer not exceeding x . Then

Options

  1. Ag(x) f(x) for all x (0,1) .
  2. B₀^1 g(x) d x ₀^1 f(x) d x .
  3. C_ x 1⁺ f(x) g(x) =-1
  4. Dthere exists a unique point x₀ (0,1) such that f (x₀ )=g (x₀ ) .

Correct answer

D. there exists a unique point x₀ (0,1) such that f (x₀ )=g (x₀ ) .

Step-by-step solution

No solution available.

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