# How do you determine if #f(x)= tan x# is an even or odd function?

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To determine if ( f(x) = \tan(x) ) is an even or odd function, you evaluate ( f(-x) ) and compare it to ( f(x) ):

- If ( f(-x) = f(x) ), then the function is even.
- If ( f(-x) = -f(x) ), then the function is odd.
- If neither of the above conditions holds, then the function is neither even nor odd.

For ( f(x) = \tan(x) ):

- ( f(-x) = \tan(-x) = -\tan(x) )

Since ( f(-x) = -f(x) ), ( f(x) = \tan(x) ) is an odd function.

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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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