# #lim_(h->0) [sin(2π+h) - sin(2π)]/h =# ?

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#lim_(h->0) ((sin(2pi+h)-sin(2pi))')/[(h)']= lim_(h->0) cos(2pi+h)=cos2pi=1#

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This question is very similar to the the limit definition of the derivative:

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The limit of the given expression as h approaches 0 is equal to 2π.

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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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