- #1
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Give an example of a sequence [itex]\{ f_n\}[/itex] of continuous functions defined on [0,1] such that [itex]\{ f_n\}[/itex] converges pointwise to the zero function on [0,1], but the sequence [itex]\{ \int^{1}_{0} f_n\}[/itex] is unbounded.
I'm pretty lost on this one.
I'm pretty lost on this one.