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研究所、轉學考(插大)-高等微積分
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107年 - 107 東吳大學_暑假轉學生招生考試_數學系三年級:高等微積分#105419
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題組內容
5. Let
and δ> 0 . Prove the following:
(iii)
converges uniformly to its limit on [δ , ∞)
其他申論題
4. (i) Let f be integrable on [a, b] . For x ∈[a, b] , let . Prove that F' x=f( x) whenever f is continuous at x .
#447887
(ii) Given , f ( x, t )dt , find F'( x ) , assuming suitable smoothness conditions on φ ,Ψ and f .
#447888
(i) → g pointwise on □ , where
#447889
(ii) does not converge uniformly to its limit on □ .
#447890
(a)
#447892
(b)
#447893
(c)
#447894
(d)
#447895
(e)
#447896
(a)
#447897