# What is the limit of a removable discontinuity?

The limit of a removable discontinuity is simply the value the function would take at that discontinuity if it were not a discontinuity.

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The limit of a removable discontinuity exists and is equal to the value of the function at that point.

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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.

- How do you find the limit of # [ x (cot^2 x)] / [(csc x) +1]# as x approaches 0?
- How do you evaluate the limit #root6(2x-14)# as x approaches #7#?
- What is the limit of #sinx/x#?
- How do you find the Limit of #-1# as #x->2# and then use the epsilon delta definition to prove that the limit is L?
- How do you find the limit of #(x^2-9)/(x^2+2x-3)# as x approaches -3?

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