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The differential equation for the curve y=g(x) is given by dy/dx = 2^x(y-1). It is known that g(1)=0 and g is twice differentiable. lim x-->1

The differential equation for the curve y=g(x) is given by dy/dx = 2^x(y-1). It is known that g(1)=0 and g is twice differentiable.

lim x-->1 sin(g(x)) / x^2 - x

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