Binomial expansion of a shifted power

sum_k C(n,k) x^(n-k) d^k, beside the closed value (x+d)^n.

Usage

BinomExp(x, n, delta)

Arguments

x

base.

n

power, >= 0.

delta

shift.

Value

list(terms, sum, exact, abs_error).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (7.35).

Examples

BinomExp(2, 5, 0.1)$abs_error
#> [1] 1.421085e-14