Let Uk) be a sequence on [a, b] such that each fk is differentiable on [a, b] and i:(x)
Chapter 10, Problem 6(choose chapter or problem)
Let Uk) be a sequence on [a, b] such that each fk is differentiable on [a, b] and i:(x) ~ g(x)with li:(x)1 ~ K for all x E [a, b]. Show that the sequence Uk (x either converges for allx E [a, b] or it diverges for all x E [a, b].
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