What is the equation of the line normal to # f(x)=xtanx# at # x=pi/2#?

Answer 1

There is no such thing.

#pi/2# is not in the domain of #tanx#, so it is not in the domain of #f#.
There is no point on the graph with #x=pi/2#, so there is no line normal to the graph at #x=pi/2#.
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Answer 2

The equation of the line normal to f(x) = xtanx at x = pi/2 is y = -x.

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Answer from HIX Tutor

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.

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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