AsymptoticExpectation
AsymptoticExpectation[expr, x \[Distributed] dist, a -> a0] computes an asymptotic approximation for the expectation of expr centered at a0, under the assumption that x follows the probability distribution dist.
AsymptoticExpectation[expr, vars, {a, a0, n}] computes the asymptotic expectation to order n.
Examples
Asymptotic expectation:
AsymptoticExpectation[x^2, x \[Distributed] NormalDistribution[a, 1],
a -> Infinity]Please visit the official Wolfram Language Reference for more details.