MHB Is Limsup of Upper Semicontinuous Function True? Help Needed

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for any upper semicontinuous function limsup f(x)=lim f(x)...Is thıs true ? I don't know, please help me :)
 
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No,

Just think in $f(x)=sin(x)$, is continuous and its upper limit is 1 when $x\to +\infty$
 

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