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Consider the sequence of functions on [0, 1] defined by fin ( 2 ) = (1+ -n (a) Show that fr(x) - f(x) = e-pointwise.
Consider the sequence of functions on [0, 1] defined by fin ( 2 ) = (1+ -n (a) Show that fr(x) - f(x) = e-pointwise. (b) Show that 1 lim fn(r) dx = f(r) dx. n-+00 J
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