[考古] 95台大研, 極限, 積分

[dreambegins (夢想正開始)]

suppose that y > 0 (原題目是lamda > 0 , 但是lamda 打不出來QQ),
please solve

　　　　    y
lim   y * Ｓ        cosx / x^(3/2) dx .
y→0        y^2

[hint]: Application of the M.V.T. of the integtal calculus:
        If f(x) and g(x) are continuous function in a =< x =< b
        and g(x) >= 0,
        then    b　　　　　　　　　　  b
　　　　　　　Ｓ  f(x)g(x)dx = f(c)* Ｓ  g(x) dx , whose a =< c =< b .
                a                      a

please ~~~ Orz

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