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A function y=f(x) satisfies f"(x)=-(1)/...

A function `y=f(x)` satisfies `f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)/(2)andf(1)=0`. then

A

`f((1)/(2))=1-ln2`

B

`f((1)/(.2))=(pi)/(2)-ln2`

C

`f(x)=0`has exactly 3 roots

D

`f(x)=0` has exactly one root

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The correct Answer is:
A, C
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