7. Let G be a smooth arc and gk : G ~ R be continuous for n
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7. Let G be a smooth arc and gk : G ~ R be continuous for n E N.
(a) If gk ~ 9 uniformly on G, prove that fe gk ds ~ fe gds as k ~ 00.
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(b) Let {gd be pointwise monotone and let gk ~ 9 pointwise on G as k ~ 00.
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