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

There are two methods for doing this: the "normal" method and Newton's Linearization method.

COMMON WAY

Method of Linearization

Try whichever method works for you; this one is a little more formulaic and may require less thought for some.

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The equation of the tangent line of f(x)=x^2-2/x at x=1 is y = 3x - 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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