# What is the equation of the line that is normal to #f(x)= ln(x^2-x+1)/x #at # x= 1 #?

Find the y coordinate at x = 1:

The slope, n, of the normal line is:

The normal line has a slope of -1 and passes through the point (1, 0). Using the point-slope form of the equation of a line, we obtain the following equation:

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The equation of the line that is normal to f(x) = ln(x^2-x+1)/x at x = 1 is y = -1.

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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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