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Mathematics, 28.11.2021 14:00 727
Let f be a real-valued function such that f, f1 , and f^11 are all continuous on
[0, 1]. Consider the series P∞
k=1 f( 1 /K
(a) Prove that if the series P∞
k=1 f(1
convergent, then f(0) = 0
>>f^1
(0) = 0.
(b) Conversely, show that if f(0) = f^1
(0) = 0, then the series P∞
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Let f be a real-valued function such that f, f1 , and f^11 are all continuous on
[0, 1]. Consider...
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