Is the following statement correct: If (fn) is a sequence of differentiable functions on [a, b] such that both (fn) and (fn) converge uniformly on [a, b] to ƒ and g respectively, then f is...

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Is the following statement correct:<br>If (fn) is a sequence of differentiable functions on [a, b] such that both (fn) and (fn)<br>converge uniformly on [a, b] to ƒ and g respectively, then<br>f is differentiable, and f' = g.}<br>O Yes<br>O No<br>Somtimes<br>

Extracted text: Is the following statement correct: If (fn) is a sequence of differentiable functions on [a, b] such that both (fn) and (fn) converge uniformly on [a, b] to ƒ and g respectively, then f is differentiable, and f' = g.} O Yes O No Somtimes

Jun 03, 2022

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Is the following statement correct: If (fn) is a sequence of differentiable functions on [a, b] such that both (fn) and (fn) converge uniformly on [a, b] to ƒ and g respectively, then f is...

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