阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-高等微積分
>
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
>
(ii) Prove that the function f ( x) = sin x is uniformly continuous on
其他申論題
5.《劍南詩稿》
#447880
四、作文(文言或白話不拘) 題目:創意與傳統
#447881
1. Assume that sin x is continuous on R , prove that the function is continuous on ( -∞,0) and (0, ∞) , discontinuous at 0 , and neither f (0+ ) nor f (0- ) exists
#447882
2. (i) State Mean Value Theorem. .
#447883
3. (i) Let u = F ( x + g ( y)) . Find .
#447885
(ii) Find all the critical points of the function f ( x, y ) = x 2 + 3 y 4 + 4 y 3 + 12 y 2 and tell whether it is a local maximum, local minimum, or a saddle point. x
#447886
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
阿摩線上測驗
登入
阿摩線上測驗
登入