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let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h...

let `f(x)=x^3-x^2-3x-1 , g(x)=(x+1)a`and `h(x)=f(x)/g(x)` where `h` is a rational function such that `(1)` it is continuous everywhere except when `x=-1 ,(2) lim_(x->oo)h(x)=oo ` and `(3) lim_(x->-1)h(x)=1/2` then the value of `h(1)`

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