Question: Show that the condition lim {x D: fn(x) = f(x) > 0} = 0 818 implies that fn f on D. (b) Show that

Show that the condition lim {x D: fn(x) = f(x) > 0}

Show that the condition lim {x D: fn(x) = f(x) > 0} = 0 818 implies that fn f on D. (b) Show that the converse is not true. (c) Show that the condition in (a) implies that for a.e. xD we have fn(x) = f(x) for infinitely many n N.

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