# What is the equation of the line normal to #f(x)=x^2-x # at #x=-2#?

The normal line is:

graph{(y-x^2+x)(-y+1/5x+32/5)=0 [-15.61, 12.86, -1.46, 12.77]}

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The equation of the line normal to f(x)=x^2-x at x=-2 is y = -5x - 6.

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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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