Polynomial Remainder

Algebra Level 5

Consider the function \( f(x)=x^{2015}+2015 \). If \( f(x) \) is divided by \( x^{8}-x^{6}+x^{4}-x^{2}+1 \), it leaves a remainder \( g(x) \). If \( f(x) \) is divided by \( (x+1)^{3} \), it has a remainder \( h(x)\).

Find the value of \( \frac{h(1)+1}{1-g(-1)}\).

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