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Let f(x) =int-1^x e^(t^2) dt and h(x)=f(...

Let `f(x) =int_-1^x e^(t^2) dt and h(x)=f(1+g(x)),` where `g (x)` is defined for all `x, g'(x)` exists for all `x, and g(x) < 0 for x > 0.` If `h'(1)=e and g'(1)= 1,` then the possible values which `g(1)` can take

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