# How do you remove a removable discontinuity?

Please see the explanation section.

(In more ordinary language, g is the same as f everywhere except at x = a, and g does not have a discontinuity at a.)

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To remove a removable discontinuity in a function, you need to redefine the function at the point of discontinuity. This can be done by evaluating the limit of the function as it approaches the point of discontinuity and assigning a new value to the function at that point. By doing so, you can create a continuous function without the removable discontinuity.

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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 evaluate the limit #w/(1/(-1+w)+1)# as w approaches #0#?
- How do you compute the limit of #cot(4x)/csc(3x)# as #x->0#?
- How do you find the limit of #(x ^ 3)(e ^ (-x ^ 2))# as x approaches infinity?
- What is an example l'hospital's rule?
- How do you evaluate the limit #(2tan^2x)/x^2# as x approaches #0#?

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