Second-order (1+a)^n approximation

valid is the decision n a^3 < 0.1.

Usage

PowExpAp2(a, n)

Arguments

a

perturbation, > -1.

n

exponent.

Value

list(exact, approx, na3, valid).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (7.24).

Examples

PowExpAp2(-1 / 365, 23)$approx
#> [1] 0.9388496