Give an example of a sequence of continuous functions $(f_n)$, $f_n : [0, 1] to mathbb{R}$ that converges to zero pointwise, and such that the integral of each function within the given domain is $frac32$?
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Give an example of a sequence of continuous functions $(f_n)$, $f_n : [0, 1] to mathbb{R}$ that converges to zero pointwise, and such that the integral of each function within the given domain is $frac32$?