Algebra

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1    

I used Desmos to plot y = (x²) / (x – 1 + x³)    

As x increases past (1,1), the value of y decreases asymptotically,    

which means y approaces zero (the x-axis) but it never gets there.    

So there is no minimum value.  We say "it approaches zero".    

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