Difference quotient of x to the n

((x+d)^n - x^n)/d beside the derivative n x^(n-1).

Usage

DiffQuotN(x, n, delta)

Arguments

x

evaluation point.

n

power, >= 0.

delta

step, nonzero.

Value

list(quotient, derivative, abs_error).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (7.33).

Examples

DiffQuotN(3, 5, 1e-6)$abs_error
#> [1] 0.0002700637