Consider the following for equi-spaced arguments with h as the interval of differencing: 1. x^(-r) = 2/(x+rh)^(r) 2. Delta^mx^(-r) = r(r+1)(r+2)...(r+m)h^mx^(-r-m) for m le r. Which of the statements given above is/are correct?

Q55Section I (Objective (Q1–Q80))55 of 80

Numerical Analysis — checking formulas for negative factorial powers

Consider the following for equi-spaced arguments with h as the interval of differencing: 1. $x^{(-r)} = \frac{2}{(x+rh)^{(r)}}$ 2. $\Delta^{m}x^{(-r)} = r(r+1)(r+2)...(r+m)h^{m}x^{(-r-m)}$ for $m \le r$ . Which of the statements given above is/are correct?

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