# What is the equation of the normal line of #f(x)=1/x-lnx/x# at #x=1#?

The normal line has equation

We now determine the slope of the tangent by inserting our point into the derivative (since this represents the instantaneous rate of change of the function).

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The equation of the normal line of f(x)=1/x-lnx/x 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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