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 $\frac{h(1)+1}{1-g(-1)}$ .