So, the function is given to be $[\cos (\pi n!x)]^{2n}$ and we have to check for uniform convergence in $[0,1]$. I am facing problem in finding the pointwise limit of the function. For $x=0$, it will be $1$. What the limit would be for other cases?
2026-04-02 14:19:11.1775139551
To test for uniform convergence of the following function
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