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Draw the graph of the function `y=f(x)=lim_(ntooo) cos^(2n)x` and find its period.

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Draw the graph of the function `y=f(x)=lim_(ntooo) cos^(2n)x` and find its period.
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`f(x)=underset(ntooo)lim(cos^(2)x)^(n)`
`={{:(0", "0lecos^(2)xlt1),(1", "cos^(2)x=1):}`
`={{:(0", "xnenpi" "n in1),(1", "x=npi" "n in1):}`
Hence the graph of the function is as follows.
image
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