(adsbygoogle = window.adsbygoogle || []).push({}); chi-squared dist. converges to normal as df goes to infinity, but....

This is surely going to sound naive, but at least this will make it easy to answer.

For a chi-squared distribution, if k = the degrees of freedom, then

[a] k = μ = (1/2) σ^{2}

as k goes to infinity, the distribution approaches a normal distribution.

But when I put these two together, I get

[c] as k goes to infinity, the mean and the variance become infinite

which would seem odd for a normal curve.

What am I getting wrong here? Thanks in advance.

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# Chi-squared dist. converges to normal as df goes to infinity, but

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