# What is the equation of the line normal to # f(x)=xln(x^3-x)# at # x=1#?

I am not sure you can have it. The function is not defined at

Graphically: graph{xln(x^3-x) [-18.02, 18.03, -9.01, 9.01]}

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The equation of the line normal to f(x)=xln(x^3-x) at x=1 is y = -3.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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