# What is the equation of the normal line of #f(x)=xlnx-e^-x# at #x=2#?

Hence equation of normal would be

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The equation of the normal line of f(x)=xlnx-e^-x at x=2 is y = -2x + 2ln2 + 2e^-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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