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When Limit Is Undefined?

Alexander Ross • • 6 min read
When Limit Is Undefined?

No Finite Value Limits
As x-values approach 1 from either side the y-value approaches positive infinity. Since infinity is not a finite value, the limit of the function as x approaches 1 is undefined.

What does it mean when the limit is undefined?

The answer to your question is that the limit is undefined if the limit does not exist as described by this technical definition. ... In this example the limit of f(x), as x approaches zero, does not exist since, as x approaches zero, the values of the function get large without bound.

Can you have a limit at an undefined point?

We might say that f(0) 'ought to equal 0', even though there is no properly defined value for f(x) at zero. So the limit of a f(x) at a point where the function is undefined can be thought of as the value the function should be taking at that point. ... So this function does not have a limit at x = 0.

Alexander Ross
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Alexander Ross

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.