# Is #f(x)=tanx# increasing or decreasing at #x=0#?

Increasing

Examine the graph:

graph{tanx [-3.12, 3.247, -6.24, 3.12]}

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The function ( f(x) = \tan(x) ) is increasing at ( x = 0 ).

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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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