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2\left(1-\Phi\left(\frac{\sqrt{n}\,\varepsilon}{\sigma}\right)\right) \to 0
</math>
as ''n'' tends to infinity, for any fixed {{nowrap|''ε'' > 0}}. Therefore, the sequence ''T<sub>n</sub>'' of sample means is consistent for the population mean ''μ'' (recalling that <math>\Phi</math> is the [[
== Establishing consistency ==
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