Infinity

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Infinitely Close But Never There

Infinitely Close But Never There

Horizontal asymptotes describe the behavior of a graph as the input goes to positive or negative infinity. They occur in functions where the degree of the numerator and the denominator determines the asymptote. In rational functions, if the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is the […]

The Intermediate Value Theorem

The Intermediate Value Theorem

The Intermediate Value Theorem ensures that for a continuous function, any value between its outputs at two points is also achieved somewhere within that interval. It confirms the existence of solutions without pinpointing their exact location.

The Role Played by Infinity in Limits

The Role Played by Infinity in Limits