# Probability Question (Expectation Value Limit)

$\phi_\epsilon(x) = \mathbb{E}\phi(x + \epsilon Z)$

for any random variable $Z$ on $\mathbb{R^n}$, then $\phi_\epsilon(x)$ → $\phi(x)$ as $\epsilon$ → 0.

L Ellis

369

## Answer

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Cmartman

42

The answer is accepted.

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