# What is the equation of the line normal to #f(x)= x^3/e^x # at #x=2#?

The equation of the line normal to the graph of the function:

In our case:

So the normal line is:

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To find the equation of the line normal to ( f(x) = \frac{x^3}{e^x} ) at ( x = 2 ), follow these steps:

- Find the derivative of ( f(x) ) using the quotient rule.
- Evaluate the derivative at ( x = 2 ) to find the slope of the tangent line.
- Find the negative reciprocal of the slope obtained in step 2 to get the slope of the normal line.
- Use the point-slope form of a line with the point ( (2, f(2)) ) and the slope obtained in step 3 to find the equation of the normal line.

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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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