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NEST2021MathematicsDefinite Integration

Let f(n)= ₀^1 ⁻¹( [n] x ) d x where n is a positive integer. Then

Options

  1. A_ n (f(n)+f(n+2)) exists and is equal to
  2. Bthere exists a positive integer n₀ such that f(n) f(n+1) for all positive integers n n₀
  3. Cf(n) f(n+1) 4 for all n
  4. D_ n (f(n)+f(n+2)) exists and is equal to 2

Correct answer

D. _ n (f(n)+f(n+2)) exists and is equal to 2

Step-by-step solution

No solution available.

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