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Define The LIMIT as in Calculus?

Updated: 4/28/2022
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The term "limit" in calculus describes what is occurring as a line approaches a specific point from either the left or right hand side.

Some limits approach infinity while some approach specific points depending on the function given. If the function is a piece-wise function, the limit may not reach a specific value depending on the function given.

For a more in-depth definition here is a good link to use:

* http://www.math.hmc.edu/calculus/tutorials/limits/

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Q: Define The LIMIT as in Calculus?
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A limit in calculus is a value which a function, f(x), approaches at particular value of x. They can be used to find asymptotes, or boundaries, of a function or to find where a graph is going in ambiguous areas such as asymptotes, discontinuities, or at infinity. There are many different ways to find a limit, all depending on the particular function. If the function exists and is continuous at the value of x, then the corresponding y value, or f (x), is the limit at that value of x. However, if the function does not exist at that value of x, as happens in some trigonometric and rational functions, a number of calculus "tricks" can be applied: such as L'Hopital's Rule or cancelling out a common factor.

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What is calculus about?

Calculus is about applying the idea of limits to functions in various ways. For example, the limit of the slope of a curve as the length of the curve approaches zero, or the limit of the area of rectangle as its length goes to zero. Limits are also used in the study of infinite series as in the limit of a function of xas x approaches infinity.


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