# How do you find the linearization at x=2 of #f(x) = 3x - 2/x^2#?

Taylor:

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To find the linearization at ( x = 2 ) of ( f(x) = \frac{3x - 2}{x^2} ), follow these steps:

- Find the first derivative of ( f(x) ).
- Evaluate the derivative at ( x = 2 ) to find the slope of the tangent line.
- Find the value of ( f(x) ) at ( x = 2 ) to find the ( y )-intercept of the tangent line.
- Write the equation of the tangent line using the slope and ( y )-intercept found in steps 2 and 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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