# What is the equation of the tangent line of #f(x) =sqrt(x^2-2x+1)-x+1# at # x = 1#?

The tangent line at

Hence:

x^2-2x+1)-x+1 graph{sqrt[-4.333, 5.667, -0.7, 4.3]}

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The equation of the tangent line of f(x) = sqrt(x^2-2x+1)-x+1 at x = 1 is y = -x+2.

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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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