[考古] 95台大研, 極限, 積分
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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