# What is the limit of # tan(1/x)# as x approaches infinity?

0

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The limit of tan(1/x) as x approaches infinity is 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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- Find the limit as x approaches infinity of #xsin(1/x)#?
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- How do you evaluate the limit #(x^2+4x+6)/(3x^2+1)# as x approaches #oo#?

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