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Find the period of f(x) = e^(x - [x]) +|...

Find the period of `f(x) = e^(x - [x]) +|sin pi x| + |sin 2pi x|+......+|sin 2008 pi x|`, where [ ] represents the greatest integer function.

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As period of x-[x], `|sin pi x|, |sin 2pi x|, .....|sin2008pi x|` are `(1, 1, (1)/(2), (1)/(3),.....(1)/(2008))` respectively. Hence period of f(x) is 1.
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