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The number of real solutions of the e...

The number of real solutions of the equation `sin^(-1)(sum_(i=1)^oox^(i+1)-xsum_(i=1)^oo(x/2)^i)=pi/2-cos^(-1)(sum_(i=1)^oo(-x/2)^i-sum_(i=1)^oo(-x)^i)` lying in the interval `(-1/2,1/2)` is ____. (Here, the inverse trigonometric function `=sin^(-1)x` and `cos^(-1)x` assume values in `[pi/2,pi/2]` and `[0,\ pi]` , respectively.)

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