# What does limit does not exist mean?

For the definition, please see below.

equivalently

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"Limit does not exist" means that the limit of a function does not have a finite value or does not exist at a particular point. This can occur if the function approaches different values from the left and right sides of the point, or if the function oscillates or diverges as it approaches the 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 locus of the center of the hyperbola having asymptotes given by #y-x tan alpha+1=0 and y-x tan(alpha+pi/4)+2=0#, where #alpha# varies?
- How do you find a value k such that the limit #xto1# exists given #(x^2-kx+9)/(x-1)#?
- limit of (e^x -1)/2x as x tends to 0?
- How do you evaluate the limit #x^2/(1-x^2)# as x approaches #oo#?
- What is the limit of #(x^3+4x-10)/(2x^2+1)# as x goes to negative infinity?

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