First-order (1+a)^n approximation

valid is the decision n a^2 < 0.1, the book's rule of thumb for when the first-order form may be used.

Usage

PowExpApx(a, n)

Arguments

a

perturbation, > -1.

n

exponent.

Value

list(exact, approx, na2, valid).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eqs (7.14), (7.23).

Examples

PowExpApx(-1 / 365, 23)$approx
#> [1] 0.9389306