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Let f(x)=frac{cos2x-(a+2)cosx+a+1}{x} , ...

Let `f(x)=frac{cos2x-(a+2)cosx+a+1}{x}` , where `a` is a constant such that `lim_(x->0) frac{f(x)}{x}=frac{1}{2}` , than the value of `a` is :
a) 2
b) 3
c) 5
d) -5

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